Question

the sides of a triangle are in the ratio 3:5:7 and its perimeter is 45cm? what are the length of the sides​

Answer 1

Answer:

the 3 sides are 9cm, 15cm and 21cm

Step-by-step explanation:

given the ratio of the sides of a triangle = 3:5:7

let x be the proportionality constant.

then we have the 3 sides as, 3x,5x and 7x

also, given, perimeter = 45cm

ie., 3x+5x+7x = 45cm

=> 15x = 45cm

=> x = 45/15 cm

=> x = 3cm

so, the 3 sides are ,

3(3cm),5(3cm) and 7(3cm)

=> 9cm, 15cm and 21cm

Answer 2

Answer :-

• 3x = 9cm

• 5x = 15cm

• 7x = 21cm

Given :-

• Ratio of sides of Triangle = 3 : 5 : 7

• Perimeter of Triangle = 45cm

To Find :-

• The length of all the sides of Triangle.

Step By Step Solution :-

In this question we know the perimeter of Triangle and the ratio of sides.

As we Know ⤵

$\bigstar \boxed{ \underline{ \sf{ \red{Perimeter = Sum \: of \: all \: the \: Sides }}}}$

So let the Sides be ➡ 3x, 5x and 7x

Now the perimeter will be ⤵

$\implies \sf \: 3x + 5x + 7x = 45cm \\ \\ \implies \sf \: 15x = 45 \\ \\ \implies \sf \: x = \cancel\cfrac{45}{15} \\ \\ \implies \sf \: x = 3$

We know the value of x = 3

Now sides are as follows ⤵

3x => 3 × 3 = 9cm

5x => 5 × 3 = 15cm

7x => 7 × 3 = 21cm

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