Question

The perimeter of a triangle is 36cm and it's sides are in the ratio a:b:c= 3:4:5 then find the value of a,b and c (in cm).



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Answer 1

Question ::-

The perimeter of a triangle is 36cm and it's sides are in the ratio a:b:c= 3:4:5 then find the value of a,b and c (in cm).

Given ::-

• Perimeter of triangle = 36 cm

• Ratio of sides = 3:4:5

To find ::-

• Find the sides of triangle ?

Solution ::-

Let the common factor be g.

• Perimeter of triangle = 36 cm

• A = 3g
• B = 4g
• C = 5g

According to question ::-

3g + 4g + 5g = 36

12g = 36

g = 36/12

g = 3 .

Value of g is 3

__________

• A = 9 cm
• B = 12 cm
• C = 15 cm

_________

Answer 2

‌$\sf\bold{\underline{\underline{\green{Given:-}}}}$

$\mathtt{Sides \: = \: 3x \: , \: 4x \: and \: 5x}$

$\mathtt{Perimeter \: of \: a \: Triangle \: = \: 36cm}$

‌$\sf\bold{\underline{\underline{\green{To \: \: Find:-}}}}$

$\mathtt{The \: value \: of \: a \: , \: b \: , \: c}$

${:}\longrightarrow$ $\mathtt{a \: + \: b \: + \: c \: = \: 36cm}$

${:}\longrightarrow$ $\mathtt{3x \: + \: 4x \: + \: 5x \: = \: 36cm}$

${:}\longrightarrow$ $\mathtt{12x \: = \: 36cm}$

${:}\longrightarrow$ $\mathtt{x \: = \: 36 \: ÷ \: 12}$

${:}\longrightarrow$ $\mathtt{x \: = \: 3cm}$

$\mathtt{Value \: of \: a \: , \: b \: , \: c \: = \: 9 ,\: 12, \: 15}$

$\\ \boxed{\underline{\bf value\: of\: a,\: b,\: c,\: is\: 9 ,\ 12 ,\ 15,\ ! }}$

$\mathbb{ BE \: \: BRAINLY }$ ‌$\boxed\checkmark$