Question

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.

Answer 1

Answer:

• base: 50 ft
• height: 60 ft

Step-by-step 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.