Question

What is the height, x, of the equilateral triangle? an equilateral triangle with the angles labeled as 60 degrees and a side length of 8 inches, the height labeled as x A. in. B. in. C. in. D. in.

Answer 1

The height x of the equilateral triangle is 4√3 inches

Equilateral triangle:

Equilateral triangles are triangles that have all its sides and angles equals to each other. The three angles are 60 degrees each.

Therefore,

The side length of the equilateral triangle is 8 inches. Therefore, let's find the height of the triangle using Pythagoras theorem.

c² = a² + b²

8² - 4² = b²

b² = 64 - 16

b² = 48

b = √48

b = √16 × 3

b = 4√3

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