Question

Find the perimeter of a triangle that has the side lengths given below.
6 cm, 7√3 cm, √27cm
Give the answer as a radical expression in simplest form.

Answer 1

The perimeter of a triangle that has the side lengths is 6 + 10√3 cm

How to determine the perimeter?

The side lengths are given as:

6 cm, 7√3 cm and √27 cm

The perimeter is the sum of the side lengths.

So, we have:

P = 6 + 7√3 + √27

Express 27 as 9 * 3

P = 6 + 7√3 + √(9 * 3)

Take the square root of 9

P = 6 + 7√3 + 3√3

Evaluate the sum

P = 6 + 10√3

Hence, the perimeter of a triangle that has the side lengths is 6 + 10√3 cm

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