Question

24. If each side of a triangle is increased by 4 cm, the ratio of the perimeters of the new
triangle and the given triangle is 7:5. Find the perimeter of the given triangle.
Hint. Let the perimeter of given triangle be x cm. As each side is increased by 4 cm,
so the perimeter is increased by (3 x 4) cm i.e. 12 cm. According to given information,
x+12 7
5
ha rectangle is 5cm lose than twice
ing
hred​

Answer 1

Perimeter of the given triangle = 30 cm

Step-by-step explanation:

Let each sides of the given triangle be a,b and c respectively.

The sides of the new triangle = (a+4),(b+4),(c+4) respectively.

Perimeter of a triangle = a+b+c

A.T.Q.

Perimeter of the new triangle/Perimeter of the given triangle = 7/5

This implies, (a+4)+(b+4)+(c+4) = 7

a+b+c 5

a+b+c+4+4+4/a+b+c = 7/5

So, a+b+c+12/a+b+c = 7/5

(a+b+c+12)5 = (a+b+c)7

5a+5b+5c+60 = 7a+7b+7c

5a-7a+5b-7b+5c-7c+60 = 0

-2a-2b-2c+60 = 0

-2(a+b+c) = -60

a+b+c = 60/2

So, a+b+c = 30 cm

Hence, Perimeter of the given triangle = 30 cm

Hope it helps you.

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