The sides of a triangle are in the ratio 3:2:4. If the perimeter of the triangle is 36 cm, then the length of its longest side is ___ cm.

12 cm

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16 cm

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18 cm

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20 cm

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Solution

The correct option is B
16 cm

Let the sides be 3x, 2x and 4x.

Sum of all sides = Perimeter = 36 cm

$\Rightarrow$ 3x + 2x + 4x = 36

$\Rightarrow$ 9x = 36

$\Rightarrow$ x = $\frac{36}{9}$ = 4 cm

$∴$ Length of the longest side = 4x = 4 $\times$ 4 = 16 cm

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The sides of a triangle are in the ratio 3:2:4. If the perimeter of the triangle is 36 cm, then the length of its longest side is ___ cm.

The correct option is B 16 cm Let the sides be 3x, 2x and 4x. Sum of all sides = Perimeter = 36 cm ⇒ 3x + 2x + 4x = 36 ⇒ 9x = 36 ⇒ x = 369 = 4 cm ∴ Length of the longest side = 4x = 4×4 = 16 cm

The correct option is B
16 cm

Let the sides be 3x, 2x and 4x.

Sum of all sides = Perimeter = 36 cm

$\Rightarrow$ 3x + 2x + 4x = 36

$\Rightarrow$ 9x = 36

$\Rightarrow$ x = $\frac{36}{9}$ = 4 cm

$∴$ Length of the longest side = 4x = 4 $\times$ 4 = 16 cm