2) Areas of two similar triangles are 225cm² and 81cm2. If a side of the smaller triangle is 12cm, then find the corresponding side of the bigger triangle.
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Answer:
for similar triangles
areas ratio = square of corresponding sides
225:81 = x² : 12²
√ 225/81 = x/12
15/9 = x/12
15*12/9 = x
180/9= x
x= 20
side of bigger triangle = 20 cm
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