Problema Solution
A triangle has a base that is 3 times the height. The area of the triangle is 63cm^(2). Find the height of the triangle.Round your answer to the nearest tenth of a centimeter. A=(1)/(2)bh
Answer provided by our tutors
Let
b = the base
h = the height
A = 63 cm^2
The base is 3 times the height:
b = 3h
The area is 63 cm^2:
A = (1/2)(bh)
(1/2)(bh) = 63
Plug b = 3h into the above equation:
(1/2)(3h*h) = 63
........
click here to see the equation solved for h
........
h = 6.48 cm
We need to ignore the negative solution since the height can not be a negative number.
The height of the triangle is 6.48 cm.