Pythagoras' Theorem

Problem 1
Draw a right-angled triangle.[br]Mark the hypotenuse* with an x.[br]Mark the legs** with numbers larger than 4.[br]Then, solve your problem! Find x.[br][br][i]*The hypotenuse is the longest side of the right-angled triangle (the side opposite to the right angle).[br]**The legs are the two other sides of the right-angled triangle.[br][/i][br]
Problem 2
Now draw a new right-angled triangle.[br]Mark one of the legs with an x.[br]Mark the other leg with a number larger than 4.[br]Mark the hypotenuse with a number larger than the one you already assigned to the leg.[br]Now, solve your problem! Find x.
Problem 3
Draw two right-angled triangles, fulfilling the following:[br]The triangles share one side.[br]The shared side is the hypotenuse of one triangle but it is a leg of the other triangle.[br][br]Now, mark the shared side with x.[br]Mark a side (you can choose which one) with y.[br]Label the remaining three sides with numbers, e.g. 1, 3 and 6 (or other numbers that you choose).[br][br]Finally, solve your problem! Find x and y.

Information: Pythagoras' Theorem