Question

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


plzz help me

Answer 1

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