SOLUTION: The length of the hypotenuse of an isosceles right triangle is 30 meters. Find the area of the triangle. Round to the nearest tenth,if necessary
Algebra ->
Triangles
-> SOLUTION: The length of the hypotenuse of an isosceles right triangle is 30 meters. Find the area of the triangle. Round to the nearest tenth,if necessary
Log On
Question 334169: The length of the hypotenuse of an isosceles right triangle is 30 meters. Find the area of the triangle. Round to the nearest tenth,if necessary Answer by jrfrunner(365) (Show Source):
You can put this solution on YOUR website! in a right isosceles triangle, the acute angles are equal =45 and the legs are also of equal length
---
leg length = hypotenuese/sqrt(2)=30/sqrt(2)
--
Area of the triangle : A=(1/2)*base* height
in an right isosceles triangle, the base is one leg and the height is the other leg. Since the legs are equal in this type of triangle
A=(1/2)leg^2= (1/2)*(30/sqrt(2))^2=30^2/4=225.0
