Question

Given that AD is the perpendicular bisector of BC, AB=15, AC=x, and BD=0.25x, identify BC.

Answer 1

The answer is 7.5

Explanation:

Answer 2

7.5 units

Explanation:

BD = DC

Triangles ABD and ACD are congruent.

So, x = 15

Reasoning (if needed)

AC² = AD² + DC²

x² = AD² + (0.25x)²

AD² = 0.9375x²

AB² = AD² + DB²

15² = 0.9375x² + (0.25x)²

225 = x²

x = 15

BC = 2BD

= 2(0.25×15)

= 7.5