The perimeter of the ABC triangle is 85cm. The AB side is 15cm shorter than the BC

univerkov | January 9, 2021 | education

The perimeter of the ABC triangle is 85cm. The AB side is 15cm shorter than the BC side and the AC side is 22cm longer than the AB side. Find the length of the BC side?

Given: P (ABC) = 85 cm AB = 15 cm than AB
BC =?
Decision:
Let x be AB, BC- (15 + x) cm, AC – (22 + x) cm x + 15 + x + 22 + x = 85 3x = 85-37 3x = 48 x = 16 16 cm – AB 16 + 15 = 31 cm BC 16 + 22 = 38 cm
Answer: 38 cm.

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