Makahanap ng mga solusyon sa iyong mga problema gamit ang IDNStudy.com. Tuklasin ang mga maaasahang impormasyon sa anumang paksa sa pamamagitan ng aming network ng bihasang mga propesyonal.

What is the perimeter of a 30-60-90 triangle whose shorter leg is 5 inches long?
a. 5 3 cm c. 15 + 3 cm
b. 15 + 5 3 cm d. 10 + 5 3 cm


Sagot :

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