Question

6 calculate the base, b, of a triangle that has an area of a = 24 square inches and a height of h = 6 inches. use the equation a = 1/2 b h. b = 8 inches b = 16 inches b = 4 inches b = 12 inches

Explanation:

Step1: Write the area formula

The area formula of a triangle is $A=\frac{1}{2}bh$.

Step2: Rearrange the formula for $b$

We can rewrite the formula as $b = \frac{2A}{h}$.

Step3: Substitute the given values

Given $A = 24$ square - inches and $h = 6$ inches. Substitute into the formula: $b=\frac{2\times24}{6}$.

Step4: Calculate the value of $b$

$b=\frac{48}{6}=8$ inches.

Answer:

$b = 8$ inches