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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.

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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1 vote
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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User Rinux
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9.0k points

1 Answer

4 votes
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.
answered
User Victor Ivens
by
7.9k points
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