Question

The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.

Answer 1

Answer:

3√2

Step-by-step explanation:

since it is equilateral we can add say base = 2 * $\sqrt{6\\}$

all sides = 2$\sqrt{6}$

we use Pythagorean theorem for solving x

a^2 + b^2 = c^2

c^2 - a^2 = b^2

(2$\sqrt{6}$)^2 - (

(24) - (6) = b^2

18 = b^2

b = √18 = √(9*2) = 3√2

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