Question

In ∆ ABC, ∠ B = 90⸰
, ∠ A = 60⸰
, ∠ C = 30⸰
.
AC = 8.6 cm. Find AB and BC

With full explanation

Answer 1

Answer:

Step-by-step explanation:

In a right angled triangle of above given angles, it is clear that the sides are in the ratio of 1:sqrt.3:2

So let the sides be x, sqrt.3.x and 2x. Given 2x = 16 ( AC will be the hypotenuse since it is the side opposite to the greatest angle= 90 degrees)

So, x = 8 cm so AB= 8.sqrt3cm and BC=8 cm