Maths Olympiad Prep

Track / Stage 2 / 22 of 320 #342 of 2604

Problem 342

Geometry Difficulty 2.0 Find the answer CEMC Cayley · Canada · 2006

In a right-angled triangle, the sum of the squares of the three side lengths is 18001800. The length of its hypotenuse is (A) 1800\sqrt{1800} (B) 121800\frac{1}{2}\sqrt{1800} (C) 9090 (D) 3030 (E) 4545

The source for this one didn't record the answer, so there is nothing to check what you type against. Work it on paper and mark yourself against the solution below.

Next problem →

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project. Solutions are the publisher's, linked not copied.