The sides of a triangle are in the ratio 3 : 4 : 5. The longest side is 12 cm more than the shortest side.

Find the length of the shortest side.

9 cm

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15 cm

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18 cm

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20 cm

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Solution

The correct option is C
18 cm

Let the measure of sides be 3 units , 4 units and 5 units.

Given that 5 units represents 3 units + 12 cm

$\Rightarrow$ 2 units represents 12 cm

$\Rightarrow$ 1 unit represents 6 cm

$∴$ Length of the shortest side = 3 units = 3 $\times$ 6 = 18 cm

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The sides of a triangle are in the ratio 3 : 4 : 5. The longest side is 12 cm more than the shortest side. Find the length of the shortest side.

The correct option is C 18 cm Let the measure of sides be 3 units , 4 units and 5 units. Given that 5 units represents 3 units + 12 cm ⇒ 2 units represents 12 cm ⇒ 1 unit represents 6 cm ∴ Length of the shortest side = 3 units = 3×6 = 18 cm

The sides of a triangle are in the ratio 3 : 4 : 5. The longest side is 12 cm more than the shortest side.

Find the length of the shortest side.

The correct option is C
18 cm

Let the measure of sides be 3 units , 4 units and 5 units.

Given that 5 units represents 3 units + 12 cm

$\Rightarrow$ 2 units represents 12 cm

$\Rightarrow$ 1 unit represents 6 cm

$∴$ Length of the shortest side = 3 units = 3 $\times$ 6 = 18 cm