Question

Unit 8:Right triangles & Trigonometry

Answer 1

`24√(5)`

Explanation:

So for this problem you can use the law of sines which states

`(a)/(sin A) = (b)/(sin B)\\`

Since the angle is a right triangle we can find the hypotenuse by plugging in the values.

`(4√(15))/(sin 60) = (hypotenuse)/(sin 90)\\\\(4√(15))/(sin 60) = hypotenuse\\hypotenuse = (4√(15))/((√(3))/(2)) = (8√(15))/(√(3))\\hypotenuse = (8√(45))/(3) = (24√(5))/(3)\\`

we now just multiply that side by 3since all the sides should be equal since all the angles are equal and we get the length of 24sqrt(5)