Question

(SAT Prep) In △ABC, AB = BC = 20, DE ≈ 9.28. Approximate BD.

Answer 1

The measure of BD ≈ 5.36

Explanation:

• The side BC = BD+DE+EC.
• The measure of BC = 20 and DE ≈ 9.28
• The angles ∠BD and ∠EC are both equal to 15°
• If the angles are same, then their sides are equal.

Let 'x' be the measure of BD and EC.

BC = x+9.28+x

20 = 9.28 + 2x

2x = 20-9.28

x = 10.72/2

x = 5.36 (approx.)

∴ The measure of BD ≈ 5.36