Answer:
- 17.5 = (1/2)(x)(2x-3)
- base: 5 m; height: 7 m
Step-by-step explanation:
The base is defined as x. The height is said to be 3 less than 2x, so is (2x-3).
The formula for the area of a triangle is ...
A = (1/2)bh
Filling in the given values, we have ...
17.5 = (1/2)x(2x-3)
35 = 2x^2 -3x . . . . multiply by 2
2x^2 -3x -35 = 0 . . . . put in standard form
(2x +7)(x -5) = 0 . . . . . factor
The base is 5 meters; the height is 2·5-3 = 7 meters.
