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 inches, the height labeled as x

Step-by-step explanation:

since it is equilateral triangle all sides are 14in

now draw a median such that it is perpendicular to base....thus it becomes 2 triangle

Altitude ²= 12.12

Altitude= √12.12

= 3.48in

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.