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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,883

Hi;

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,048

Hi bobbym,

The solutions #5177 and #5178 are correct. Smart work!

#5179. The perimeter of a right-angled triangle is 60 centimeters. Its hypotenuse is 26 centimeters. Find the area of the triangle.

#5180. If the perimeter of an isosceles triangle is

meters, then what is the area of the triangle?Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,883

Hi;

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,048

Hi bobbym,

The solutions #5179 and #5180 are correct. Splendid!

#5181. The perimeter of a triangle is 30 centimeters and its area is 30 square centimeters. If the largest side measures 13 centimeters, then what is the smallest side of the triangle?

#5182. If the area of an equilateral triangle is

square centimeters, then what is its perimeter?Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,883

Hi;

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,048

Hi bobbym,

The solutions #5181 and #5182 are correct. Immaculate, bobbym!

#5183. The height of an equilateral triangle is 10 centimeters. Find its area.

#5184. From a point in the interior of an equilateral triangle, the perpendicular distance of the sides are √3 centimeter, 2√3 centimeter and 5√3 centimeter. Find the perimeter in centimeters of the triangle.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,883

Hi;

**In mathematics, you don't understand things. You just get used to them.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,048

Hi bobbym,

The solution #5184 is correct. Neat work!

#5185. If x is the length of a median of an equilateral triangle, then what is its area?

#5186. If the area of a square with side 'a' is equal to the area of a triangle with base 'a', then find the altitude of the triangle.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,883

Hi;

**In mathematics, you don't understand things. You just get used to them.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,048

Hi bobbym,

The solution #5185 is correct. Excellent!

#5187. An equilateral triangle is described on the diagonal of a square. What is the ratio of the of the triangle to that of the square?

#5188. What will be the ratio between the area of a rectangle and the area of a triangle with one of the sides of the rectangle as base and a vertex on the opposite side of the rectangle?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,883

Hi;

**In mathematics, you don't understand things. You just get used to them.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,048

Hi bobbym,

Regarding #5187, I meant the ratio of the areas. You are right.

The solution #5188 is perfect. Brilliant!

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,883

Hi;

**In mathematics, you don't understand things. You just get used to them.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,048

Hi bobbym,

The solution #5187 is correct. Excellent!

#5189. A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 12√2 centimeters, then what is the area of the triangle?

#5190. If the side of an equilateral triangle is decreased by 20%, then its area is decreased by how much percent?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,883

Hi;

**In mathematics, you don't understand things. You just get used to them.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,048

Hi bobbym,

The solution #5190 is correct. Excellent, bobbym!

#5191.If the height of a triangle is decreased by 40% and its base is increased by 40%, what will be the effect on its area?

#5192. If every side of a triangle is doubled, the area of the new triangle is K times the area of the old one. What is K equal to?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,883

Hi;

**In mathematics, you don't understand things. You just get used to them.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,048

Hi bobbym,

The solutions #5191 and #5192 are correct. Brilliant!

#5193. One side of a parallelogram is 18 centimeters and its distance from the opposite side is 8 centimeters. Find the area of the parallelogram.

#5194. A parallelogram has sides 30 centimeters and 14 centimeters and one of its diagonals is 40 centimeters long. Find its area.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,883

Hi;

**In mathematics, you don't understand things. You just get used to them.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,048

Hi bobbym,

The solutions #5193 and #5194 are correct. Brilliant, bobbym!

#5195. One diagonal of a parallelogram is 70 centimeters and the perpendicular distance of this diagonal from either of the outlying vertices is 27 centimeters. Find the area of the parallelogram in square centimeters.

#5196. A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 meters, then find the altitude of the triangle.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,883

Hi;

**In mathematics, you don't understand things. You just get used to them.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,048

Hi bobbym,

The solution #5196 is perfect. Neat work, bobbym!

#5197. The area of a rhombus is 150 square centimeters. The length of one of its diagonals is 10 centimeters.Find the length of the other diagonal.

#5198. One of the diagonals of a rhombus is double the other diagonal. Its area is 25 square centimeters. Find the sum of the diagonals.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,883

Hi;

**In mathematics, you don't understand things. You just get used to them.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,048

Hi bobbym,

The solutions #5197 and #5198 are correct. Marvelous, bobbym!

#5199. The perimeter of a rhombus is 56 meters and its height is 5 meters. Find its area.

#5200. The diagonals of a rhombus are 24 centimeters and 10 centimeters. What are the area and the perimeter of the rhombus respectively?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,883

Hi;

**In mathematics, you don't understand things. You just get used to them.**

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