Base of triangle exceeds the height by 4. if the area is 178.5 square inches, find the length of the base and the height of the triangle

Area of a triangle:
A= (1/2)(bh)

In this problem we are given:
A= 178.5
b= h+4 in
h= UNKNOWN ("h")

Plug in our values into the area equation and solve for "h":

(multiply each side by 2 to get rid of the 1/2)



(357/21=17)
(solve both inequalities separately)


( a negative height is not possible so, this answer is incorrect.)




base = (h+4)= (17+ 4) b= 21 in h= 17in

Please comment with any further questions! :)