Question

6. The sides of a triangle are in the ratio 4:5:6. If the perimeter of the triangle is 30 cm, find its sides​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Question:-

The sides of a triangle are in ratio of 4:5:6. If the perimeter of the triangle is 30cm,find its sides.

Answer:-

Given :-

• The given figure is a triangle.

• Ratio of its sides - 4:5:6

• Perimeter of the triangle - 30cm

To find :-

Sides of the triangle

Process :-

We know that:-

Perimeter of triangle = Sum of all sides

Here,

Let each side of triangle be 4x,5x and 6x.

Then,each side of triangle:-

$⇒ Perimeter = 4x +5x +6x \\ \\ ⇒30 = 15x \\ \\ ⇒15x = 30 \\ \\⇒x = \frac{30}{15} = 2$

Substituting the value of x :-

⇨4x = 4 × 2 = 8cm

⇨5x = 5 × 2 = 10cm

⇨6x = 6 × 2 = 12cm

Therefore,all three sides of the triangle are 8cm,10cm and 12cm.

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