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The sides of a triangle are in the ratio 1: 2: 3. If the perimeter is $36 cm,$ Then what are its sides?

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6cm, 12cm, 18cm

3cm, 12cm, 17cm

8cm, 10cm, 20cm

0cm, 12cm, 25cm

answer is A.

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Detailed Solution

Given that,
Ratio of sides of a triangle = 1: 2: 3.
Perimeter of triangle = 36m.
Let the first side is x, the second be 2x and the third be 3x.
We know that,
Perimeter of a triangle = sum of all sides of the triangle.

P e r i m e t e r = x + 2 x + 3 x

⇒ 36 c m = 6 x ⇒ x = 6 c m Then, ⇒ 2 x = 2 × 6 c m ⇒ 2 x = 12 c m ⇒ 3 x = 3 × 6 c m ⇒ 3 x = 18 c m

Thus, the different sides are 6, 12 and 18 cm respectively.
Therefore, option 1 is correct.

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