Problema Solution
The height of a triangle is 3cm longer than its base. If the area of the triangle is 54 cm^2, find the measurements of the base and the height.
Answer provided by our tutors
h=3+b.
Area =1/2bh.
54=0.5bh.
bh=108.
(3+b)b=108.
b^2+3b-108=0.
(b+12)(b-9)=0.
b=9,-12.
base =9 cm.
height h=9+3=12cm.