Question
Two similar triangles have areas 50 cm² and 98 cm². If
a side of the smaller triangle is 5 cm, find the corresponding side of the larger triangle.Solution
For similar triangles, (Area₁ / Area₂) = (Side₁ / Side₂)² Let side of larger triangle = x cm. 50 / 98 = 5² / x² Simplify 50/98: divide numerator and denominator by 2 → 25/49 So: 25/49 = 25 / x² ⇒ x² = 49 ⇒ x = 7 cm (taking positive length). Answer: 7 cm.
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