Becky is making a spice shelf in the shape of a triangle to fit in the corner of her kitchen cabinet. The triangle's base is 16 inches long, and its area is 96 square inches. Which equation can you use to find the triangle's height, h? Choices: (A)96 = 2(16)h (B)96 = 1/2(16)h What is the triangle's height? Write your answer as a whole number or decimal. Do not round. ____ inches

Identify Formula: First, let's identify the correct formula to use for calculating the height of a triangle. The area of a triangle is given by the formula: Area = 1/2(base * height). So, to find the height, we rearrange the formula to height = (2 * Area) / base. Substitute Values: Now, we substitute the given values into the rearranged formula. The base is 16 inches, and the area is 96 square inches. So, height = (2 * 96) / 16. Perform Calculation: Next, we perform the calculation: height = (192) / 16. Final Height: Finally, we divide 192 by 16 to get the height. height = 12 inches.

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Becky is making a spice shelf in the shape of a triangle to fit in the corner of her kitchen cabinet. The triangle's base is $16$ inches long, and its area is $96$ square inches. $\newline$ Which equation can you use to find the triangle's height, $h$ ? $\newline$ Choices: $\newline$ (A) $96 = 2(16)h$ $\newline$ (B) $96 = \frac{1}{2}(16)h$ $\newline$ What is the triangle's height? $\newline$ Write your answer as a whole number or decimal. Do not round. $\newline$ ____ inches

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Grade 6

Area of quadrilaterals and triangles: word problems

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Q. Becky is making a spice shelf in the shape of a triangle to fit in the corner of her kitchen cabinet. The triangle's base is

16

inches long, and its area is

96

square inches.

\newline

Which equation can you use to find the triangle's height,

h

\newline

Choices:

\newline

(A)

96 = 2(16)h

\newline

(B)

96 = \frac{1}{2}(16)h

\newline

What is the triangle's height?

\newline

Write your answer as a whole number or decimal. Do not round.

\newline

____ inches

Identify Formula: First, let's identify the correct formula to use for calculating the height of a triangle. The area of a triangle is given by the formula: Area = $\frac{1}{2}(\text{base} \times \text{height})$ . So, to find the height, we rearrange the formula to height = $\frac{(2 \times \text{Area})}{\text{base}}$ .
Substitute Values: Now, we substitute the given values into the rearranged formula. The base is $16$ inches, and the area is $96$ square inches. So, height $= (2 \times 96) / 16$ .
Perform Calculation: Next, we perform the calculation: $height = \frac{192}{16}$ .
Final Height: Finally, we divide $192$ by $16$ to get the height. $\text{height} = 12$ inches.