If the base of a triangle is 10 cm and the height is 3 cm, what is its area?

To find the area of a triangle, the formula used is:

[

\text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height}

]

In this case, the base of the triangle is 10 cm, and the height is 3 cm. Substituting these values into the formula gives:

[

\text{Area} = \frac{1}{2} \times 10 , \text{cm} \times 3 , \text{cm}

]

Calculating this step-by-step:

1. First, multiply the base by the height:

[

10 , \text{cm} \times 3 , \text{cm} = 30 , \text{cm}^2

]

2. Then, multiply by ( \frac{1}{2} ):

[

\frac{1}{2} \times 30 , \text{cm}^2 = 15 , \text{cm}^2

]

Thus, the area of the triangle is 15 cm². This shows why the correct answer is