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45-45-90 Triangles : Length of Hypotenuse

1. In a 45-45-90 triangle, the length of each leg is 18. Find the exact length of the hypotenuse.

2. In the 45-45-90 triangle, the length of the hypotenuse is 20m. Find the EXACT length of each leg.

Solution Preview

1. The Pythagorean theorem states that for a right triangle, the sum of the squares of both sides equals the square of the hypothenuse:

a^2 + b^2 = ...

Solution Summary

The length of the hypotenuse in right triangles is calculated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.