Problema Solution
The length of one side of a triangle is 2 cm less than twice the length of the altitude to that side. The area of the triangle is 30 cm(squared). Find the length of the altitude.
Answer provided by our tutors
Given this
Let
base = 2h-2
height = h
A=1/2bh
30=1/2(2h-2)(h)
60=2h²-2h
2h²-2h-60=0
2(h-6)(h+5)=0
h=-5 no
only h = 6
Height = 6 cm
Base = 2(6)-2= 10 cm