Question

A right triangle has a leg with a length of 18 and a hypotenuse with a length of 36. Bernie notices that the hypotenuse is twice the length of the given leg, which means it is a 30–60–90 triangle. If Bernie is right, what should the length of the remaining leg be? Explain your answer. Confirm your answer using the Pythagorean theorem.

Answer 1

b=31.18

Explanation:

a^2+b^2=c^2

18^2+b^2=36^2

324+b^2=1296

b^2=972

b=31.1769145362