The length of the hypotenuse of a 30-60-90 triangle is 9. What is the perimeter?

the perimeter of any figure, is all its sides summed up

now, notice the picture below, using the 30-60-90 rule, that's "x"

now, get the other sides, since you know what "x" is, and sum them up, that's the perimeter

Answer Link

jainveenamrata jainveenamrata · Answer 2 · 2022-03-10T13:34:09+01:00

The perimeter of a right-angle triangle having the length of the hypotenuse of a 30-60-90 triangle is 9 is 21.29 units.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

The length of the hypotenuse (H) of a 30-60-90 triangle is 9.

Then other sides of the triangle will be given as

AB = H × cos 30° = 9 × 0.866 = 7.79

BC = H × sin 30° = 9 × 0.5 = 4.5

Then the perimeter of the right-angle triangle will be

Perimeter = 9 + 7.79 + 4.5

Perimeter = 21.29

More about the trigonometry link is given below.

https://brainly.com/question/22698523