Question

Each side of a triangle is increased by 10 cm. If the ratio of perimeter of the new Triangle and the given triangle is 5:4. find the perimeter of the given Triangle.

Answer 1

Answer:

120 cm

Step-by-step explanation:

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

Then, Perimeter of the Triangle = a + b + c = x

Perimeter of the new triangle = (a + 10) + (b + 10) + (c + 10)

                                                 = (a + b + c) + 30    

                                                 = (x + 30)

By Given Condition,

(x + 30) : x = 5 : 4

⇒ x + 30/x = 5/4

⇒ 4(x + 30) = 5x

⇒ 4x + 120 = 5x

⇒ 4x - 5x = -120

⇒ -x = -120

⇒ x = 120

∴ Perimeter of the given triangle = 120 c

Answer 2

Hëy Frïèñd....

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Here is the answer...

Ration of

$\frac{Perimeter\:of\:new\:triangle}{Perimeter\:of\:given\:triangle} = \frac{5}{4}$

Let perimeter of new triangle = P1

and perimeter of given triangle = P2

$\frac{P1}{P2} = \frac{5}{4}$

Let P1 = 5x

and P2 = 4x

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Now each side increase by 10cm

Then perimeter will increase by 30cm.

P2 + 30 = P1

4x + 30 = 5x

30 = x

Value of x = 30cm

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Now P2 = 4 x 30

= 120cm

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Hence, the perimeter of given triangle is 120cm.

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