Problema Solution
The area of a triangular flag is 156 square centimeters. Its altitude is 2 centimeters longer than twice its base. Find the lengths of the altitude and the base.
Answer provided by our tutors
let
a = the length of the base, a>0
h = the length of the altitude, h>0
A = 156 cm^2
A = (1/2)ah
(1/2)ah = 156 multiply both sides by 2
ah = 312
Its altitude is 2 centimeters longer than twice its base
h = 2 + 2a
plug h = 2 + 2a into ah = 312
a(2 + 2a) = 312
by solving we find
a = 12 cm
click here to see the step by step solution of the quadratic equation:
h = 2 + 2*12
h = 26 cm
the length of the base is 12 cm.
the length of the altitude is 26 cm.