Question

in the right triangle ABC B=90° C=30° If AB =5cm find AC and BC​

Answer 1

Answer:

AC = 10 cm

BC = 5√3 cm

Step-by-step explanation:

Given right triangle ABC in which ∠B = 90° , ∠C = 30° and AB = 5cm

Since, right angled at B, so, AC is hypotenuse side, BC is base and AB is perpendicular.

Now, Sin C = Perpendicular / Hypotenuse = AB / AC

Sin 30° = 5 cm / AC

1/2 = 5 cm / AC

AC = 10 cm

Now, Tan C = Perpendicular / Base = AB / BC

Tan 30° = 5 cm / BC

1/√3 = 5 cm / BC

BC = 5√3 cm.