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

Tony is building a dog house, and the front view of the roof is shown below-example-1
User CIAvash
by
7.6k points

1 Answer

2 votes

Answer:

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.

User TheoNeUpKID
by
7.5k points

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