Question

the side of a triangle are in ratio 3:5:2 find its sides if the perimeter is 160cm.​

Answer 1

Answer :

$\star$ The sides of the triangle are 48 cm, 80 cm and 32 cm.

Given :

• The sides of a triangle are in the ratio 3:5:2
• Perimeter of the triangle is 160 cm.

To Find :

• Sides of the triangle.

Calculation :

Let the sides of the triangle be :-

• 3x
• 5x
• 2x

Now, calculating,

$\longrightarrow \sf \: 3x + 5x + 2x = 160 \\ \\ \\ \longrightarrow \sf \: 10x = 160 \\ \\ \\ \longrightarrow \sf \: x = \cancel\dfrac{160}{10} \\ \\ \\ \longrightarrow{ \boxed{ \sf {x = 16}}} \: \pink{ \bigstar}$

Therefore, the value of x is 16.

Now,

$\dag$ Calculating for first side of the triangle :

$\longrightarrow \sf \: 3x = 3 \times 16 = 48 \\ \\ \\ \longrightarrow{ \boxed{ \sf {48 \: cm}}} \: \blue{ \bigstar}$

$\dag$ Calculating for second side of the triangle :

$\longrightarrow \sf \: 5x = 5 \times 16 = 80 \\ \\ \\ \longrightarrow{ \boxed{ \sf {80 \: cm}}} \:\blue{ \bigstar}$

$\dag$ Calculating for third side of the triangle :

$\longrightarrow \sf \: 2x = 2 \times 16 = 32 \\ \\ \\ \longrightarrow{ \boxed{ \sf {32 \: cm}}} \: \blue{ \bigstar}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, the sides of the triangle are 40 cm, 80 cm & 32 cm.

Answer 2

Answer:

• Required Sides= 48cm, 32 cm, 80 cm.

Step-by-step explanation:

Question -

• the side of a triangle are in ratio 3:5:2 find its sides if the perimeter is 160cm.

ㅤ

Given -

• Perimeter = 160 cm.
• Sides of triangle in the ratio 3:5:2

ㅤ

To find-

• The sides of the triangle.

ㅤ

Solution -

➠ㅤSo to find the value of the ratios and the sides, let's assume the sides as 3x,5x and 2x and then find the required answer.

$\underline{\boxed{\mathcal\red{Perimeter_{(Triangle)} = Sum\:Of\: Sides}}}$

$160 = 3x + 2x + 5x \\ \\ 160 = 10x \\ \\ \frac{160}{10} = x \\ \\ 16 = x$

ㅤ

So required sides =

$\rightarrow$ 3x= 3×16=48 cm.

$\rightarrow$ 2x= 2×16= 32 cm.

$\rightarrow$ 5x = 5×16= 80 cm.

ㅤ

Hence, the sides of the triangle are $\sf\blue{48cm,32cm \:and\: 80 cm}$.