The length of the hypotenuse of a 30 -60 -90 triangle is 16. What is the perimeter?

Solution:

The length of the hypotenuse of a 30 -60 -90 triangle is 16.

To find other sides, we can use trigonometric laws

Sin 30 = opposite side / hypotenuse

1/2 = opposite side/ 16

Opposite side = 16/2 = 8

Cos 30= adjacent side/hypotenuse

√ 3/2 = adjacent side /16

Adjacent side = 8√ 3.

Perimeter is the sum of all sides of the triangle.

16 + 8√ 3 + 8 = 37.8 units

The length of the hypotenuse of a 30 -60 -90 triangle is 16. What is the perimeter?

Summary:

The length of the hypotenuse of a 30 -60 -90 triangle is 16, the perimeter is 37.8 units