The height of a triangular window is 3 feet less than its base. The area the window is 20 ft.? find the dimensions of the window

Question

asked Nov 25, 2019 176k views

1 Answer

KamalaH · Answer 1 · 2019-11-29T16:41:43+0000

Let us assume base of the window = b feet.

Height is 3 feet less than base, that is = (b-3).

Given area of the triangle = 20 feet square.

We know formula for area of a triangle:

Area =
(1)/(2) × Base × Height

Plugging values in formula, we get

20 =
(1)/(2) b * (b-3)

$\mathrm{Multiply\:both\:sides\:by\:}2$

$40=b\left(b-3\right)$

40=b^2-3b

b^2-3b-40=0

Factoring quadratic, we get

$\left(b+5\right)\left(b-8\right)$ =0

b+5=0

b=-5

b-8=0

b=8.

For base we can take only positive value.