Question

If area of two similar triangles are 81cm2 and 45 cm2 and the perimeter of the first triangle is 63 cm and the two sides of triangle second is 10 cm and 12 cm respectively. What is the thrid side?​

Answer 1

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Answer 2

Correct Question :- If area of two similar triangles are 81cm² and 49 cm² and the perimeter of the first triangle is 63 cm and the two sides of triangle second is 10 cm and 12 cm respectively. What is the thrid side ?

Solution :-

we know that,

• when two ∆'s are similar, the ratio of areas of both ∆'s = Ratio of square of there corresponding sides and perimeters .

So,

→ first ∆ perimeter / Second ∆ perimeter = √(first ∆ area/second ∆ area)

→ 63 / Second ∆ perimeter = √(81/49)

→ 63 / Second ∆ perimeter = 9/7

→ Second ∆ perimeter = 49 cm

then,

→ Third side = 49 - (10 + 12) = 27 cm (Ans.)

Note :- since 10 + 12 < 27 . sum of two sides of ∆ is not greater than third side . Given ∆ is not possible to formed .

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