3 years ago

In the triangle ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC.

Mathematics

1 answer:

Basile [38]3 years ago

8 0

Step-by-step Answer:

AN is height, so A is perpendicular to BC. (See image attached).

BN = 18

AN = 24

AC = 40

All as labeled.

ABN is a right triangle, with AB = sqrt(18^2+24^2)=sqrt(324+576)=30

ACN is a right triangle, with CN = sqrt(40^2-24^2)=sqrt(1600-576) = 32

BC = BN + NC = 18 + 32 = 50

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