Question

16 the figure below shows ( kl ), an equilateral triangle. what is the height of ( \triangle jkl )?
( l )
( 24 ) feet
( k )
round your answer to the nearest whole number.

Explanation:

Step1: Recall equilateral triangle height formula

For an equilateral triangle with side length \( s \), the height \( h \) is given by \( h = \frac{\sqrt{3}}{2}s \). Here, \( s = 24 \) feet.

Step2: Substitute \( s = 24 \) into the formula

\( h=\frac{\sqrt{3}}{2}\times24 = 12\sqrt{3} \).

Step3: Calculate the numerical value

\( 12\sqrt{3}\approx12\times1.732 = 20.784 \).

Step4: Round to the nearest whole number

\( 20.784\approx21 \).

Answer:

21