The side lengths, in centimeters, of a triangle are 3x, 15 and 4(x-1). The perimeter of the triangle is 60 centimeters. What is the length of the longest side of the triangle?
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4(x-1) is the longest side
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Answer:
Length of longest side (3rd side) is 24 cm.
Step-by-step explanation:
3x + 15 + 4(x-1) = 60
⇒ 3x + 15 + 4x - 4 = 60
⇒ 3x + 15 + 4x = 60 + 4 = 64
⇒ 7x + 15 = 64
⇒ 7x = 64 - 15 = 49
⇒ x = 49/7 = 7
→ 1st side = 3x = 3 x 7 = 21 cm
→ 2nd side = 15 cm
→ 3rd side = 4(x-1) = 4x - 4 = (4 x 7) - 4 = 28 - 4 = 24 cm
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