Question

In a right triangle shaped house, the roof is 51 feet long and the base of the house is 29 feet across. Calculate height of the house. Show work

Answer 1

Height=h

hypotnous= 51

base=29

Since, house is in right triangle shape..

So using Pythagoras theorem:

Hypot²=base²+height²

On putting values..

51²=29²+h²

51²-29²=h²

2601-841=h²

1760=h²

√1760=h

h=41.95

The height of house is 41.95feet.