Question

In a right-triangle shaped house, the roof is 61 feet long and the base of the

house is 11 feet across. Calculate the height of the house.

Answer 1

on model the house forms a right triangle in B, ABC

AC=61

BC=11

we are looking for AB the height

Pythagore's theorem

61²=11²+height²

height²=61²-11²

height²=3600

height =√3600=60feet