Andrew claims that a wooden bookend in the shape of a 45°- 45°- 90° right triangle has side lengths of 5 in., 5 in., and 8 in. Is he correct? If so, show the work and if not, show why not.

Jun 10, 2015

Andrew is wrong.

Explanation:

If we are dealing with a right triangle, then we can apply the pythagorean theorem, which states that ${a}^{2} + {b}^{2} = {h}^{2}$
where $h$ is the triangle's hypotenuse, and $a$ and $b$ the two other sides.

Andrew claims that $a = b = 5$in. and $h = 8$in.
${5}^{2} + {5}^{2} = 25 + 25 = 50$
${8}^{2} = 64 \ne 50$

Therefore, the triangle's measures given by Andrew are wrong.