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Marat540 [252]
2 years ago
13

A triangle has a perimeter of 126 centimeters. The 2 longer sides are 3 times as long as the shortest side. Find the length of e

ach side.
Mathematics
1 answer:
Vladimir [108]2 years ago
4 0

The shorter side of the triangle is 18 cm and each of the longer sides are 54 cm

<u>Solution:</u>

Given that triangle has perimeter of 126 cm

Let the length of the shorter side of the triangle be "a"

The 2 longer sides are 3 times as long as the shortest side

So length of 2 longer sides = 3(length of the shorter side)

length of 2 longer sides = 3a

<em><u>The perimeter of triangle is given as:</u></em>

perimeter of triangle = length of the shorter side + length of 2 longer sides

perimeter of triangle = a + 3a + 3a

126 = a + 3a + 3a

7a = 126

a = 18

So length of shorter side = 18 cm

length of 2 longer sides are each = 3a = 3(18) = 54 cm

Thus, the shorter side of the triangle is 18 cm and each of the longer sides is 54 cm

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