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

Question

3 years ago

13

ach side.

1 answer:

Vladimir [108] · Answer 1 · 2022-08-12T20:06:35+03:00

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

Solution:

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

The perimeter of triangle is given as:

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