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

As we know that the opposite side of the larger angle is the largestand similarly the opposite side of the smaller angle is the smallest.

From the figure:-

<C = 60°

<A = 30°

THEREFORE :- AB>BC

THEREFORE:-

=> BC= 11cm

$= > \cos(60 ) = \frac{bc}{ac} \\ = > \frac{1}{2} = \frac{11}{ac} \\ = > ac = 22 \: cm$

SO, HYPOTENUSE = 22 cm

Hope it helps you!!