Problema Solution
The base of a triangle is 4 times as long as it's height. If together they measure 95 cm, what is the area of the triangle?
Answer provided by our tutors
let
a = the length of the base
h =the length of the height
the base of a triangle is 4 times as long as it's height
a = 4h
together they measure 95 cm
a + h = 95
by solving the system of equations
a = 4h
a + h = 95
we find
a = 76 cm
h = 19 cm
click here to see the step by step solution of the system of equations
the area of the triangle is A = (a*h)/2
A = (76*19)/2
A = 722 cm^2
the are of the triangle is 722 cm^2.