Question

If the side opposite a $60$-degree angle in a $30-60-90$ right triangle is $7\sqrt{3}$ cm long, how long is the hypotenuse?Answers:$7$ cm$14$ cm$28$ cm$7\sqrt{3}$ cm

Answer 1

In a 30-60-90 triangle the sides are in ratio 1 : √3 : 2 (short leg : long leg : hypotenuse). The side opposite 60° is the long leg = √3 × short leg. If the long leg = 7√3, then the short leg = 7 and the hypotenuse = 2×7 = 14 cm.

Answer: 14 cm.