SOLUTION: The sides of a triangle are in the ratio 5:12:13, and its perimeter is 150 m. Find the area of the triangle.

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Question 938735: The sides of a triangle are in the ratio 5:12:13, and its perimeter is 150 m. Find the area of the triangle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
5x%2B12x%2B13x=150
30x=150
x=5
5%285%29=25
12%285%29=60
13%285%29=65
The triangle is a right triangle since,
5%5E2%2B12%5E2=13%5E2
25%2B144=169
169=169
So the area is,
A=%281%2F2%29bh
A=%281%2F2%2925%2860%29
A=750m%5E2