Question

What is the height of the triangular kite if its area is 6 square feet and its base is 4 feet?

A) 1.5 feet
B) 2 feet
C) 3 feet
D) 4.5 feet

Answer 1

Answer: 3 feet (choice C)

Work Shown

0.5*base*height = area of the triangle

0.5*4*h = 6

2h = 6

h = 6/2

h = 3

Check

area = 0.5*base*height

area = 0.5*4*3

area = 2*3

area = 6 square feet

The answer is confirmed.

Answer 2

The height of the triangular kite is 3 feet. This is found by rearranging the area formula for a triangle (Area = 1/2 × base × height) and solving for height using the given area of 6 square feet and base of 4 feet.

Step-by-step explanation:

To determine the height of the triangular kite when the area is 6 square feet and the base is 4 feet, we can use the formula for the area of a triangle: Area = 1/2 × base × height. In this case, the area A is given as 6 square feet and the base b is 4 feet, so we need to solve for the height h.

Using the formula, we have:

6 = 1/2 × 4 × h

Now, solve for h:

6 = 2 × h

h = 6 / 2

h = 3 feet

Therefore the height of the triangular kite is 3 feet, which corresponds to option C.