Question

if the area of a triangular kite is 21 square feet and its base is 6 feet, find the height of the kite. the height of the kite is □ feet. (simplify your answer.)

Explanation:

Step1: Recall triangle area formula

The area \( A \) of a triangle is given by \( A = \frac{1}{2} \times \text{base} \times \text{height} \), or \( A=\frac{1}{2}bh \). We know \( A = 21 \) square feet and \( b = 6 \) feet, and we need to find \( h \).

Step2: Substitute known values into formula

Substitute \( A = 21 \) and \( b = 6 \) into \( A=\frac{1}{2}bh \):
\( 21=\frac{1}{2} \times 6 \times h \)

Step3: Simplify and solve for \( h \)

First, simplify \( \frac{1}{2} \times 6 = 3 \), so the equation becomes \( 21 = 3h \).
Then, divide both sides by 3: \( h=\frac{21}{3}=7 \).

Answer:

7