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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.

Respuesta :

The diagonal (hypotenuse) is 13 in.

You need to use the Pythagorean Theorem

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
then just plug in the numbers and solve for c.

[tex] {12}^{2} + {5}^{2} = {c}^{2} [/tex]
[tex] \sqrt{169} = c[/tex]
13 = c

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