A triangle has a perimeter of 77 cm. One side of the triangle is double the base. The other side is quadruple the base. What are

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2 years ago

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the 3 side lengths? Show your work

1 answer:

Step2247 [10] · Answer 1 · 2023-10-24T09:11:31+03:00

The three sides of the triangles are 11 cm, 22cm, and 44cm.

<h3>What is the perimeter of a triangle?</h3>

The perimeter of the triangle can be calculated by the sum of all the three sides of the triangle.

A triangle has a perimeter of 77 cm.

Let the side of the triangle be x, y, and the base z.

One side of the triangle is double the base.

x = 2z

The other side is quadruple the base.

y = 4z

The perimeter

X + y + z = 77

or

2z + 4z + z = 77

7z = 77

z = 11

So, the length of base z is 11 cm.

The other sides as

x = 22

y = 44

Therefore,The three sides of the triangles are 11 cm, 22cm, and 44cm.

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