# Pythagoras' Theorem

## Problem 1

Draw a right-angled triangle. Mark the hypotenuse* with an x. Mark the legs** with numbers larger than 4. Then, solve your problem! Find x. *The hypotenuse is the longest side of the right-angled triangle (the side opposite to the right angle). **The legs are the two other sides of the right-angled triangle.

## Problem 2

Now draw a new right-angled triangle. Mark one of the legs with an x. Mark the other leg with a number larger than 4. Mark the hypotenuse with a number larger than the one you already assigned to the leg. Now, solve your problem! Find x.

## Problem 3

Draw two right-angled triangles, fulfilling the following: The triangles share one side. The shared side is the hypotenuse of one triangle but it is a leg of the other triangle. Now, mark the shared side with x. Mark a side (you can choose which one) with y. Label the remaining three sides with numbers, e.g. 1, 3 and 6 (or other numbers that you choose). Finally, solve your problem! Find x and y.