Question

△ABC is a 30-60-90 triangle where m∠B=90° . The length of the shorter leg is 11 units. What is the length of the hypotenuse? Enter your answer in the box. ​ units

Answer 1

Now, the shorter leg will be the side opposite to the smaller angle.

In other words, the side opposite to the smaller angle is smaller.

Therefore, the smaller angle is 30°

The side opposite to 30° is AB is shorter.

Hence, AB = 11 units

To find hypotenuse, using trigonometry ratios.

Sin 30° = AB / AC

-» ${\dfrac{1}{2}=\dfrac{11}{AC}$

-» AC = 22 units.

Therefore, hypotenuse is 22 units.