Answer:
The height is 21 inches.
Step-by-step 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;
[tex]29^{2} =20^{2} +x^{2}[/tex]
[tex]841=400+x^{2}[/tex]
=>[tex]841-400=x^{2}[/tex]
=>[tex]x^{2} =441[/tex]
[tex]x=\sqrt{441}[/tex]
x=[tex]\sqrt{3*7*3*7}[/tex]
=> [tex]x=21[/tex]
Hence, the height is 21 inches.
