Question

a triangle with area 28 square inches has a height that is twi less than four times the base. find the base and the height if the tringle?

Answer 1

Answer:

b = 4 inches and h = 14 inches

Step-by-step explanation:

Given that,

The area of a triangle, A = 28 sq inches

Height is twice less than 4 times the base.

H = 4b-2, b is base

We know that,

The area of a triangle is given by :

$A=\dfrac{1}{2}bh\\\\28=\dfrac{1}{2}\times b\times (4b-2)\\\\56=4b^2-2b\\\\28=2b^2-b\\\\b=4\ inches,-3.5\ inches$

Base = 4 inches

Height = 4(4)-2

= 14 inches

Hence, this is the required solution.