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.