Question

In rectangle ABCD, the diagonals intersect each other at point 0 and mABD=30°.

Find BC if AC = 16 in.

Answer 1

Explanation:

The length of the diagonal BC is equal to 18.47in

Data;

m∠ABD = 30°

BC = ?

AC = 16 in

Length BC

Since the length of AC = 16in and angle m∠ABD = 30°, let us consider that the edges form a right angle triangle.

We can use trigonometric ratio to find the length BC since it is the length of the diagonal.

Since we have the value of opposite and angle, we can find the hypothenuse using sine angle.

The length of the diagonal BC is equal to 18.47in