Problema Solution
a triangular Boston Red Socks banner has an area of 150 sq inches. The altitude of the triangle is 3 times the base. find the measurement of the base and altitude.
Answer provided by our tutors
b = the base, b>=0
h = the altitude, h>=0
A = 150 in^2
The altitude is 3 times the base:
h = 3b
The area is calculated by the formula:
A = (1/2)(bh)
That is:
(1/2)bh = 150 multiply both sides by 2
bh = 300
Plug h = 3b into the above equation:
b*3b = 300
3b^2 = 300 divide both sides by 3
b^2 = 100
b = 10 in
h = 3*10
h = 30 in
The base is 10 inches long while the altitude is 30 inches long.