Question

The length of the hypotenuse of a 30 60 90 triangle is 11. What is the perimeter?

I believe it is either 33+11sqrt3 or 33/2+11/2sqrt3

Please help! I'm failing my math class this year

Answer 1

Answer: 33/2 + 11/2√3

Explanation:

im not 100% sure but i think this is what it is

Answer 2

Perimeter of the triangle is
`26.015\\` units

Explanation:

Given a
`30-60-90` degree angled triangle

Let us calculate the length of side opposite the 30 degree angle

`= (1)/(2) *`hypotenuse

`= (1)/(2) * 11\\= 5.5` units

length of side opposite the 60 degree angle

`= 5.5 * √(3) \\= 5.5 * 1.73\\= 9.515` units

The perimeter of a triangle is equal to the sum of length of all three sides

Thus, the perimeter of this
`30-60-90` degree angled triangle is

`11 + 5.5 + 9.515\\= 26.015\\` units

Thus, the perimeter of the triangle is
`26.015\\` units