Question

The two shorter sides of a right triangle have the same length. the area of the right triangle is 8.63 square meters. what is the length of the hypotenuse?

Answer 1

Because the two shorter sides of the right triangle are equal, it is an isosceles right triangle, wth angles 45°, 45° and 90°.

Let x = the length of one of the shorter sides, and
y = the length of the hypotenuse.

The area is 8.63 m², therefore
(1/2)x² = 8.63
x² = 17.26

From the Pythagorean Theorem, obtain
y² = x² + x² = 34.52
y = 5.875 m

Answer: 5.875 m