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Question 466665: Find the perimeter and area of a right triangle if the shortest side is 20m. and the longest side is 29m.
Answer by algebrahouse.com(1659)   (Show Source):
You can put this solution on YOUR website! "Find the perimeter and area of a right triangle if the shortest side is 20m. and the longest side is 29m."
In a right triangle the longest side is the hypotenuse.
Pythagorean Theorem is a² + b² = c²
a and b are the legs, c is the hypotenuse
20² + b² = 29² {substituted given information into the pythagorean theorem}
400 + b² = 841 {squared 20 and 29}
b² = 441 {subtracted 400 from both sides}
b = 21 {took square root of both sides}
The triangle has sides of 20m, 21m, and 29m
Perimeter of the triangle
= 20 + 21 + 29
= 70 m
For more help from me, visit: www.algebrahouse.com
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