Question

the area of the triangle below is 7.15 square centimeters. what is the length of the base? 2.6 cm answer attempt 1 out of 3 b = cm submit answer

Explanation:

Step1: Recall triangle area formula

The area formula for a triangle is $A = \frac{1}{2} \times b \times h$, where $A$ is the area, $b$ is the base, and $h$ is the height. We know $A = 7.15$ cm² and $h = 2.6$ cm, and we need to solve for $b$.

Step2: Rearrange the formula to solve for $b$

Starting with $A = \frac{1}{2} \times b \times h$, multiply both sides by 2: $2A = b \times h$. Then divide both sides by $h$: $b = \frac{2A}{h}$.

Step3: Substitute the known values

Substitute $A = 7.15$ and $h = 2.6$ into the formula: $b = \frac{2 \times 7.15}{2.6}$.

Step4: Calculate the numerator first

$2 \times 7.15 = 14.3$.

Step5: Divide to find $b$

Now divide $14.3$ by $2.6$: $b = \frac{14.3}{2.6} = 5.5$.

Answer:

$5.5$