Question

Find the length of the missing side. Drag and drop the length of the missing side into the box to complete the statement. 16 in. 8 in. in. The length of the missing side is

Answer 1

The Pythagoras theorem says that the sum if a right triangle has side length a, b, and c then

`a^2+b^2=c^2`

Now in our case, a = 8, b = ?, and c = 16 in; therefore,

`8^2+b^2=16^2`
`64+b^2=256`

Subtracting 64 from both sides gives

`b^2=256-64`
`b^2=192`

Taking the square root of both sides gives

`b=\sqrt[]{192}`
`b=13.9`

Hence, the length of the missing side is 13.9.