Question

Select the correct answer.
The shortest side of a right triangle measures 3V3 inches. One angle of the triangle measures 60°. What is the length in inches, of the
hypotenuse of the triangle?

Answer 1

The length of the hypotenuse of the triangle is 6√3 inches

How to determine the length of the hypotenuse?

The given parameters are:

Angle, θ = 60°

Shortest side = 3√3

The attached diagram illustrates the right triangle

From the diagram, we have:

cos(θ) = Shortest/Hypotenuse

This gives

cos(60°) = 3√3/Hypotenuse

This gives

Hypotenuse = 3√3/cos(60°)

Evaluate cos(60°)

Hypotenuse = 3√3/0.5

Evaluate the quotient

Hypotenuse = 6√3

Hence, the length of the hypotenuse of the triangle is 6√3 inches

Read more about right triangles at:

https://brainly.com/question/2437195

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