Question

Bernard works as a courier delivering and picking up packages for a shipping company. Three of the communities on his route form an isosceles right triangle as shown in the figure. There are approximately 68 miles between Old Mill and Clarksville and between Clarksville and Hamilton. Approximately how many miles are there between Old Mill and Hamilton? Round your answer to the nearest mile if necessary.

Answer 1

If there is a right triangle, you can Always use the Theorem of Pythagoras. As two of the sides of the triangle have the Same length, the right angle has to be between them(if you dont know why: try to Draw a right triangle with to sides that have the Same length where the right angle is Not between them! It doesnt Work!)

c^2=68^2+68^2
c=√(68^2+68^2)