Areas of two similar triangles are 36 cm2 and 100 cm2. If the length of a side of the larger triangle is 20 cm. Find the length of the corresponding side of the smaller triangle.


Given,

Area of smaller triangle = 36 cm2


Area of larger triangle = 100 cm2


Also, length of a side of the larger triangle = 20 cm


Let length of the corresponding side of the smaller triangle = x cm


By property of area of similar triangle.



x = 144 = 12 cm


Hence, the length of corresponding side of the smaller triangle is 12 cm.


12
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