Mathematics: What is the length of the short leg in the 30-60-90 triangle shown below?

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What is the length of the short leg in the 30-60-90

willcohen42

07.01.2022

Correct option is:

B. 5

Step-by-step explanation:

The triangle is a right angled triangle.

Let a be a angle adjacent to 90°

then, tana=Side opposite to angle a/Side adjacent to angle a which is not the hypotenuse

Here, Let a=60°

$tan60\°=\dfrac{5\sqrt{3}}{Length\ of\ short\ leg}$

$\sqrt{3}=\dfrac{5\sqrt{3}}{Length\ of\ short\ leg}$

⇒ Length of short leg=5

Hence, Correct option is:

B. 5

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