Question

A triangle has side lengths in the ratio 2 : 6 : 7.If the length of the shortest side is 24 centimetres, what is the perimeter of the triangle?

Answer 1

Answer:

168 centimetres

Step-by-step explanation:

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Answer 2

➣ Answer

• Perimeter of triangle = 168 cm or 1 meter 68 centimetre.

➣ Given

• A triangle has side lengths in the ratio 2 : 6 : 7.
• Length of the shortest side is 24 centimetres

➣ To Find

• The perimeter of the triangle.

➣ Step By Step Explanation

Given that a triangle has side lengths in the ratio 2 : 6 : 7. The length of the shortest side is 24 centimetres.

We need to find the perimeter of triangle.

➵ Assumption

Let the sides of triangle be 2x, 6x and 7x. Then the length of shortest side i.e. 2x = 24 cm.

If 2x = 24 then x will be equal to 24/2 i.e. 12 centimeters.

➵ By substituting the value of x = 12 cm.

Then the other sides will be 6x = 6 × 12 => 72 cm , 7x = 7 × 12 => 84 cm and 2x = 24 cm.

➵ Formula Used

Perimeter of triangle = Sum of all the sides.

➵ By substituting the value of sides.

Perimeter of triangle = 72 + 84 + 12 cm.

Therefore, Perimeter of triangle = 168cm or 1m 68 cm.

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