Question

1. find the area of each triangle. explain or show your reasoning.

a.
b.

Explanation:

Part a

Step1: Identify base and height

Assume each grid square has side length 1. The base of the triangle (horizontal side) spans 6 units, and the height (vertical side) spans 4 units.

Step2: Apply triangle area formula

The formula for the area of a triangle is $A = \frac{1}{2} \times base \times height$. Substituting the values, we get $A = \frac{1}{2} \times 6 \times 4$.

Step3: Calculate the area

$\frac{1}{2} \times 6 \times 4 = 3 \times 4 = 12$.

Step1: Identify base and height

Assume each grid square has side length 1. The base of the triangle (horizontal side) spans 5 units, and the height (vertical side) spans 3 units.

Step2: Apply triangle area formula

Using the formula $A = \frac{1}{2} \times base \times height$, substitute the values: $A = \frac{1}{2} \times 5 \times 3$.

Step3: Calculate the area

$\frac{1}{2} \times 5 \times 3 = \frac{15}{2} = 7.5$.

Answer:

12

Part b