Areas of two similar triangles are 256 sq.cm. 64 sq.cm. If a side of the smaller triangle is 12 cm, then the corresponding side of the bigger triangle will be.
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Answer:
24cm
Step-by-step explanation:
Theorm : If two triangles are similar, then ratio of the area of the two triangles is proportional to the square of the ratio of their corresponding sides.
Area of T1 = 256 sq.cm. Side of T1 = x cm
Area of T2 = 64 sq.cm. Side of T2= 12 cm
Ratio of areas : (Area of T1) / (Area of T2)
256/64
= 4
Ratio of square of corresponding sides = x^2/144
i.e x^2 = 144 × 4
i.e x = 12 × 2
x = 24 cm
Therefore corresponding side of T1 is 24cm.
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