Question

Tony is building a dog house, and the front view of the roof is shown below

Answer 1

The height is 21 inches.

Explanation:

We can find the height by using Pythagoras theorem.

As we know it is an isosceles triangle. So, the base can be divided equally in 2 parts for both triangles.

So, we can take the hypotenuse as 29 inches and base as 20 inches.

Now applying Pythagoras theorem, we get;

`29^(2) =20^(2) +x^(2)`

`841=400+x^(2)`

=>
`841-400=x^(2)`

=>
`x^(2) =441`

`x=√(441)`

x=
`√(3*7*3*7)`

=>
`x=21`

Hence, the height is 21 inches.