Problema Solution
The area of the numbered triangle on a shuffle board court is
48 ft2.
Its height is 4 feet more than the length of the base. Find the length of the base and the height.
Answer provided by our tutors
let
a = the length of the base
h = the length of the height
height is 4 feet more than the length of the base
h = 4 + a
The area of the numbered triangle on a shuffle board court is 48 ft^2
(h*a)/2 = 48
plug h = 4 + a into the last equation (h*a)/2 = 48
(4 + a)*a/2 = 48
by solving the equation we find and consider the positive roots only (since the length can not be a negative number)
a = 8 ft
click here to see the step by step solution of the quadratic equation
h = 4 + 8 = 12 ft
the length of the base is 8 feet.
the length of the height it 12 feet.