Question

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

Answer 1

Using the Pythagorean Theorem, the height of the equilateral triangle is given by:

A. $h = 7\sqrt{3}$ inches.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs $l_1$ and $l_2$ of a right triangle with the length of the hypotenuse h, according to the following equation:

$h^2 = l_1^2 + l_2^2$

For this problem, we have that:

• The height is one side of the triangle.

• The other side is half the length, of 7 in.

• The hypotenuse is the length, of 14 in.

Hence the height is found as follows:

$h^2 + 7^2 = 14^2$

$h = \sqrt{147}$

$h = \sqrt{49 \times 3}$

$h = 7\sqrt{3}$ inches.

More can be learned about the Pythagorean Theorem at brainly.com/question/654982

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