Question

A rectangular picture frame has side lengths of 12 in by 9.5 in what is the length of the diagonal of the picture

Answer 1

Length of diagonal of picture = 15.30 inches

Explanation:

Given that:

Side lengths of picture frame = 12 inches by 9.5 inches

As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.

Using Pythagorean theorem;

a²+b²=c²

Putting the values in the theorem

`(12)^2 + (9.5)^2 = c^2 \\144+90.25=c^2\\c^2 = 234.25`

Taking square root on both sides

`√(c^2)=√(234.25)\\c=15.30`

Hence,

Length of diagonal of picture = 15.30 inches