Question

After joining two pieces of a picture frame together, a frame maker checks her work by measuring the diagonal (see the illustration). The sides of the frame form a right angle and the measurements are as follows: a = 12 in. and b = 5 in.

Answer 1

The diagonal (hypotenuse) is 13 in.

You need to use the Pythagorean Theorem


`{a}^(2) + {b}^(2) = {c}^(2)`
then just plug in the numbers and solve for c.


`{12}^(2) + {5}^(2) = {c}^(2)`

`√(169) = c`
13 = c