Question

The perimeter of a triangle is 950m and its sides are in the ratio 6:9:4. Find the length of

its sides.सेंड आंसर ​

Answer 1

Given -

• Perimeter of triangle = 950 m

• Ratio of sides = 6:9:4

To find -

• Length of each sides.

Formula used -

• Perimeter of triangle = a + b + c

Solution -

In the question, we are provided with the ratio of the sides of a triangle and it's Perimeter is 950 m², and we need to find the length of the sides. For that, first we will take a common ratio x then, we will apply the formula of perimeter of triangle, after that we will find the value of x, then will multiply the obtained with the ratio given.

Let -

The common ratio be x

So -

6 = 6x (Side a)

9 = 9x (side b)

4 = 4x (side c)

Perimeter = 950 m (as P)

Perimeter of triangle -

P = a + b + c

On substituting the values -

→ P = a + b + c

→ 950 m = 6x + 9x + 4x

→ 950 m = 19x

→ x = 950/19

→ x = 50

Now -

We will multiply the obtained value of x, with 6, 9 and 4 to find the length of each side.

→ 6x = 6 × 50 = 300 m

→ 9x = 9 × 50 = 450 m

→ 4x = 4 × 50 = 200 m

Verification -

→ P = a + b + c

→ 950 m = 300 m + 450 m + 200 m

→ 950 m = 750 m + 200 m

→ 950 m = 950 m

Therefore, the length of each side is 300m, 450m and 200m

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Answer 2

Answer:

Given :-

• The perimeter of a triangle is 950 m and it's side and in the ratio of 6 : 9 : 4.

To Find :-

• What is the length of its side.

Solution :-

Let,

$\leadsto$ First side be 6x

$\leadsto$ Second side be 9x

$\leadsto$ Third side will be 4x

According to the question,

↦ $\sf 6x + 9x + 4x =\: 950$

↦ $\sf 15x + 4x =\: 950$

↦ $\sf 19x =\: 950$

↦ $\sf x =\: \dfrac{\cancel{950}}{\cancel{19}}$

➠ $\sf\bold{\green{x =\: 50\: m}}$

Hence, the required three sides are :

➲ First side of a triangle :

⇒ $\sf 6x$

⇒ $\sf 6 \times 50\: m$

➦ $\sf\bold{\red{300\: m}}$

➲ Second side of a triangle :

⇒ $\sf 9x$

⇒ $\sf 9 \times 50\: m$

➦ $\sf\bold{\red{450\: m}}$

And,

➲ Third side of a triangle :

⇒ $\sf 4x$

⇒ $\sf 4 \times 50\: m$

➦ $\sf\bold{\red{200\: m}}$

$\therefore$ The length of its side is 300 m , 450 m and 200 m respectively.