Question

find the missing dimension of the triangle.
1.5 in.
area = 2 in.²
h = \square in.

Explanation:

Step1: Recall triangle area formula

The area of a triangle is $A = \frac{1}{2} \times b \times h$, where $A$ is area, $b$ is base, $h$ is height.

Step2: Substitute known values

Substitute $A=2$, $b=1.5$ into the formula:
$2 = \frac{1}{2} \times 1.5 \times h$

Step3: Isolate and solve for $h$

First simplify $\frac{1}{2} \times 1.5 = 0.75$, so:
$2 = 0.75h$
Rearrange to solve for $h$:
$h = \frac{2}{0.75} = \frac{8}{3} \approx 2.67$

Answer:

$\frac{8}{3}$ (or approximately $2.67$) in.