A triangle has an area of 52 square inches and a height of 8 inches. Which equation can you use to find the length of the triangle's base, b? Choices: (A)52 = 1/2b(8) (B)52 = 1/2b(8 + 8) What is the length of the triangle's base? Write your answer as a whole number or decimal. Do not round. ____ inches

Identify Formula: Step 1: Identify the correct formula to calculate the base of the triangle. The area of a triangle is given by the formula A = 1/2 * base * height. We need to rearrange this formula to solve for the base, b. Given the area (A) is 52 square inches and the height (h) is 8 inches, the correct equation to use is: 52 = 1/2 * b * 8Solve Equation: Step 2: Solve the equation for b. Start by multiplying both sides of the equation by 2 to eliminate the fraction: 2 * 52 = b * 8 104 = b * 8 Now, divide both sides by 8 to solve for b: 104 / 8 = b b = 13

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A triangle has an area of $52$ square inches and a height of $8$ inches. $\newline$ Which equation can you use to find the length of the triangle's base, $b$ ? $\newline$ Choices: $\newline$ (A) $52 = \frac{1}{2}b(8)$ $\newline$ (B) $52 = \frac{1}{2}b(8 + 8)$ $\newline$ What is the length of the triangle's base? $\newline$ Write your answer as a whole number or decimal. Do not round. $\newline$ ____ inches $\newline$

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Math Problems

Grade 6

Area of quadrilaterals and triangles: word problems

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Q. A triangle has an area of

52

square inches and a height of

8

inches.

\newline

Which equation can you use to find the length of the triangle's base,

b

\newline

Choices:

\newline

(A)

52 = \frac{1}{2}b(8)

\newline

(B)

52 = \frac{1}{2}b(8 + 8)

\newline

What is the length of the triangle's base?

\newline

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

\newline

____ inches

\newline

Identify Formula: Step $1$ : Identify the correct formula to calculate the base of the triangle. $\newline$ The area of a triangle is given by the formula $A = \frac{1}{2} \times \text{base} \times \text{height}$ . We need to rearrange this formula to solve for the base, $b$ . Given the area ( $A$ ) is $52$ square inches and the height ( $h$ ) is $8$ inches, the correct equation to use is: $\newline$ $52 = \frac{1}{2} \times b \times 8$
Solve Equation: Step $2$ : Solve the equation for $b$ . Start by multiplying both sides of the equation by $2$ to eliminate the fraction: $2 \times 52 = b \times 8$ $104 = b \times 8$ Now, divide both sides by $8$ to solve for $b$ : $104 / 8 = b$ $b = 13$