Question

find the area of the right triangle.

(image of a right triangle on a grid with 1 unit scale, and a box for area = \square square units)

Explanation:

Step1: Identify base and height

From the grid, the base (horizontal leg) of the right triangle spans 5 units, and the height (vertical leg) spans 6 units.

Step2: Apply area formula for triangle

The formula for the area of a triangle is $A = \frac{1}{2} \times \text{base} \times \text{height}$. Substituting base = 5 and height = 6, we get $A = \frac{1}{2} \times 5 \times 6$.

Step3: Calculate the area

$\frac{1}{2} \times 5 \times 6 = \frac{30}{2} = 15$.

Answer:

15