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Question
The sides of a triangle are in the ratio 3 : 4 : 5. The longest side is 12 cm longer than the shortest side.
Find the length of the shortest side.
The sides of a triangle are in the ratio 3 : 4 : 5. The longest side is 12 cm longer than the shortest side.
Find the length of the shortest side.
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Solution
The correct option is C 18 cm
Let the sides be 3x, 4x and 5x.
Given that 5x = 3x + 12
⇒ 5x - 3x = 12
⇒ 2x = 12
⇒ x = 6
∴ Length of the shortest side = 3x = 3×6 = 18 cm
18 cm
Let the sides be 3x, 4x and 5x.
Given that 5x = 3x + 12
⇒ 5x - 3x = 12
⇒ 2x = 12
⇒ x = 6
∴ Length of the shortest side = 3x = 3×6 = 18 cm
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