Answer:
The height of the triangle = 6 inches
The base of the triangle = 10 inches
Explanation:
The formula for the Area of a Triangle = 1/2 × Base × Height
Area = 30 in²
h = b - 4
Hence
30 = 1/2 × b × b - 4
Cross Multiply
30 × 2 = b² - 4b
60. = b² - 4b
b² - 4b - 60
We factorise the Algebraic expression to find b
b² - 4b - 60 = 0
b² - 10b + 6b - 60 = 0
b(b - 10) + 6(b - 10) = 0
(b - 10) + (b + 6 ) = 0
b - 10 = 0 , b = 10
b + 6 = 0, b = -6
We are going to take the positive answer of b as the value of b
b = 10 inches
Solving for h
h = b - 4
h = 10 - 4
h = 6 inches
Therefore, the height of the triangle = 6 inches
base of the triangle = 10 inches