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A triangular banner has an area 1500 square feet. Find the measures of the base and height of the triangle if the base is five-sixths of the height.

1 Answer

2 votes

Answer:

  • base: 50 ft
  • height: 60 ft

Explanation:

The formula for the area of a triangle is ...

A = (1/2)bh

Filling in the numbers you are given, you get ...

1500 = (1/2)(5/6h)(h)

3600 = h^2 . . . . . . . . . multiply by 12/5

60 = h . . . . . . . . . . . . . .square root

b = 5/6·60 = 50 . . . . . . base is 5/6 of height

The measures of the base and height are 50 ft and 60 ft, respectively.

User Antoninkriz
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