Question

An equilateral triangle is folded in half.IN60° 60°14 cm-4What is x, the height of the equilateral triangle?O 14V301407307

Answer 1

An equilateral triangle is a triangle that has the same length on all its three sides. Therefore, we can say that:

Since the triangle is folded in half, then we can say that:

From this, we can solve "x" using the Pythagorean Theorem.

`c^2=a^{2^{}}+b^2`

where "c" = hypotenuse and "a" and "b" can be either of the remaining sides.

`\begin{gathered} 14^2=7^2+x^2 \\ 196=49+x^2 \\ 196-49=49+x^2-49 \\ 147=x^2 \\ \sqrt[]{147}=\sqrt[]{x^2} \\ 7\sqrt[]{3}=x \end{gathered}`

Therefore, the height of our equilateral triangle is 7√3. This is found in the third option.