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## #1 2006-03-08 02:28:45

kakenx
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### Triangle problems

Hi! I'm very new with math and I'm having problems with this excercise.. seems simple but I need some help! This here is to find the perimeter and area of the triangle. Thank you!

## #2 2006-03-08 02:41:16

krassi_holmz
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### Re: Triangle problems

Is this triangle rectangular (sorry but I have to ask)?
If it is, there's a theorem, called pythagorean. It will help you.
And why c² is in square inches?
I think that c must be a line.
(I'm asking because c is actually length and c² must be "length" too)
If it is, then simply
c=5in
This pytagorean theorem states that
a²+b²=c²
You know c, know b too, so it won't be hard to find a.
I leave you to continue with the approach.

IPBLE:  Increasing Performance By Lowering Expectations.

## #3 2006-03-08 02:42:45

ganesh
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### Re: Triangle problems

Hi kakenx!
Welcome to MathsIsFun!

Given c²= 25in², it can be known that c=5 in (taking only the positive square root);
b = 4in.
From the diagram, it can be seen that the triangle is a right-angled triangle.
For any right-angled triangle (a triangle in which one of the angles is 90 degrees), Pythagoras theorem holds good.
That is, the sum of the squares of two sides of a right-angled triangle would be equal to the square of the third side (the longest side, called the hypotenuse).
From the diagram, it can be seen that c is the longest side.
Hence, c²=a²+b²
25 = b²+a²
It is given that b=4
Therefore,
25 = 4²+a²= 16 + a²
25 - 16 = a², 9=a²
Therefore, a=3in (Since the unit is inch).

Perimeter = a+b+c = 3+4+5 = 15 inches

Area of a triangle = 1/2 (base) x (height)
For any right-angled triangle,
area is given by the formula 1/2 (a)(b) where a and b are the two sides other than the hypotenuse.
Therefore, in this problem,
Area = 1/2 x (3) x(4) = 6 in²

Character is who you are when no one is looking.

## #4 2006-03-08 02:44:55

krassi_holmz
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### Re: Triangle problems

Good ganesh.
You was just little slower than me, but you gave the entire solution.
Well done!

IPBLE:  Increasing Performance By Lowering Expectations.

kakenx
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Thank you!