Question

find the missing measurement. round your answer to the nearest tenth.
area = 12.4 cm²
? = 4.35 cm

Explanation:

Step1: Recall triangle area formula

The area of a triangle is $A = \frac{1}{2} \times b \times h$, where $b$ is the base (the missing side) and $h$ is the height.

Step2: Rearrange formula to solve for base

Isolate $b$: $b = \frac{2A}{h}$

Step3: Substitute given values

$A = 12.4\ \text{cm}^2$, $h = 3.7\ \text{cm}$, so:
$b = \frac{2 \times 12.4}{3.7}$

Step4: Calculate and round to nearest tenth

First compute numerator: $2 \times 12.4 = 24.8$
Then divide: $\frac{24.8}{3.7} \approx 6.7$

Answer:

$6.7$ cm