Problema Solution
A triangular top has a base that is twice as long as its height. If the area of the table surface is 324 square inches, what is the value of the height and the base?
Answer provided by our tutors
Let
h = the height of the triangle, h>0
b = the base of the triangle, b>0
A = 324 in^2 the area of the triangle
b = 2h
A = (1/2)(bh)
Plug b = 2h into the above equation:
A = (1/2)(2h*h)
A = h^2
h^2 = 324
h = 18 in
b = 2*18
b = 36 in
The height is 18 inches while the base is 36 inches.