The 30-60-90 triangle theorem states that the hypotenuse is
twice the measure of the shorter leg. Furthermore, the sides of this type of triangle
is in the ratio 1:2:[tex] \sqrt{3} [/tex]
Hence, since the shorter leg measures 5 inches,
hypotenuse
is equal to 5(2) = 10 inches,
and the longer leg is 5[tex] \sqrt{3} [/tex]
Then the perimeter is 5+10+5[tex] \sqrt{3} [/tex] =
15+5[tex] \sqrt{3} [/tex]
Hence, the answer is B. 15+5[tex] \sqrt{3} [/tex] inches
