Problema Solution
the bases of triangles are inversely proportional to their altitudes. The base of a certain triangle is 14 cm and its altitude is 20 cm. Find the base of another triangle having the same area as the first, whose altitude is 28cm.
Answer provided by our tutors
let a = the base of the other triangle
since the area of the triangle = (1/2)*base*altitude we have
(1/2)a*28 = (1/2)14*20
by solving we find
a = 10 cm
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the base of the other triangle is 10 cm.