Question

2.3 area of parallelograms and triangles
find the area of each triangle.
a.

b.

c.

Explanation:

Step1: Apply triangle area formula (a)

The area of a triangle is $\frac{1}{2} \times \text{base} \times \text{height}$. For triangle a, base = 12, height = 4.
$\text{Area} = \frac{1}{2} \times 12 \times 4$

Step2: Calculate area for (a)

Simplify the expression.
$\frac{1}{2} \times 12 \times 4 = 24$

Step3: Apply triangle area formula (b)

For right triangle b, legs are base and height: base = 12, height = 5.
$\text{Area} = \frac{1}{2} \times 12 \times 5$

Step4: Calculate area for (b)

Simplify the expression.
$\frac{1}{2} \times 12 \times 5 = 30$

Step5: Apply triangle area formula (c)

For triangle c, base = 14 m, height = 10 m.
$\text{Area} = \frac{1}{2} \times 14 \times 10$

Step6: Calculate area for (c)

Simplify the expression.
$\frac{1}{2} \times 14 \times 10 = 70$

Answer:

a. $24$ units²
b. $30$ units²
c. $70$ meters²