The sum of the base and height of a triangle is 192 inches. The height is twice the base. Find the base and height of the triangle.

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20-11-2017
Mathematics

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The sum of the base and height of a triangle is 192 inches. The height is twice the base. Find the base and height of the triangle.

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altavistard altavistard · Answer 1 · 2017-11-20T20:13:56+01:00

altavistard altavistard

20-11-2017

Representation of the unknowns is important here. Let the base be b and the height be h.

Then b + h = 192 inches. Also, h = 2b.

Then b + 2b = 192 inches, and 3b = 192 inches, so that b = 64 inches. The height is twice that: h = 128 inches.

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