select the correct answer. what is the height, x, of the equilateral triangle? 14 in. a. $7sqrt{3}$ inches…

Answer:

A. (7\sqrt{3}) inches

Explanation:

Step 1: Split the equilateral triangle

Divide the triangle into two right triangles with base (7) in. (half of 14 in.).

Step 2: Apply the Pythagorean theorem

Let height be (x). Use (x^2 + 7^2 = 14^2).

Step 3: Solve for (x)

(x^2 = 14^2 - 7^2 = 196 - 49 = 147), so (x = \sqrt{147} = 7\sqrt{3}).