The sides of the smaller triangle ,out of the two similar triangles are 4 cm ,5 cm and 6 cm respectively . if the perimeter of the larger triangle is 90 cm, then what are the lengths of the sides of the larger triangle.
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The second triangle has sides a, b and c which correspond to sides 4cm, 5cm and 6cm of the first triangle, respectively.
Since the triangles are similar,
a4=b5=c6
and since the perimeter of the second triangle is 90cm,
a+b+c=90
Using some algebraic substitution:
b=5a4
c=3a2
a+5a4+3a2=90
15a4=90
a=24cm
b=30cm
c=36cm
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