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What is the height, x, of the equilateral triangle?

an equilateral triangle with the angles labeled as 60 degrees and a side length of 14 inches, the height labeled as x

Select The Correct Answer What Is The Height X Of The Equilateral Triangle An Equilateral Triangle With The Angles Labeled As 60 Degrees And A Side Length Of 14 class=

Sagot :

ashbrookcrystal

Answer:

x = [tex]7\sqrt{3} [/tex] inches

Step-by-step explanation:

- 2021 Edmentum

View image ashbrookcrystal

The height x of the equilateral triangle is 7√3 inches.

What is an Equilateral triangle?

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

Therefore,

The side length of the equilateral triangle is 14 inches.

Therefore, To find the height of the triangle using the Pythagoras theorem.

c² = a² + b²

14² - 7² = b²

b² = 196 - 49

b² = 147

b = 7√3

Hence, The height x of the equilateral triangle is 7√3 inches.

learn more on the equilateral triangle here:

brainly.com/question/821299

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