Question

Find the remaining sides of a 30°-60°-90° triangle if the longest side is 5. (Enter your answers as a comma-separated list.)

Answer 1

The remaining sides of the right triangle are 2.5 and 4.3.

How to find the sides of a right triangle?

The sides of the right triangle can be found as follows:

Using Pythagoras's theorem,

c² = a² + b²

Hence,

• a and b are the other legs
• c is the hypotenuse

Using trigonometric ratios,

sin 30 = opposite / hypotenuse

sin 30 = x / 5

5 × 0.5 = x

x = 2.5

Hence,

5² - 2.5² = a²

a² = 25 - 6.25

a = √18.75

a = 4.33

The remaining sides of the right triangle are 2.5 and 4.3.

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