the area of two similar triangles are 36cm ^2 and 25cm^2. if the one side of the second triangle is 3cm long,find the length of the corresponding side of the first triangle
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Step-by-step explanation:
area of ∆ 1 / area of ∆ 2 = corresponding side² of ∆1 / corresponding side² of ∆ 2
36/25 = side² of ∆ 1 / 3²
=> 36/25 = side² of ∆ 1 / 9
=> side² of ∆ 1 = (36×9)/25
=> side of ∆ 1 = √[(36×9)/25] = (6×3)/5 = 18/5 = 3.6 cm
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