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Alex Ar [27]
3 years ago
12

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

Mathematics
2 answers:
Colt1911 [192]3 years ago
6 0

Answer:

7.5 units

Step-by-step 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

zvonat [6]3 years ago
3 0

Answer:

The answer is 7.5

Step-by-step explanation:

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