Write True or False and justify your answer.
The area of a triangle with base $4 \, \text{cm}$ and height $6 \, \text{cm}$ is $24 \, \text{cm}^2$.
The area of a triangle with base $4 \, \text{cm}$ and height $6 \, \text{cm}$ is $24 \, \text{cm}^2$.
(B) The area of a triangle is given by the formula: $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$.
Given,$\text{base} = 4 \, \text{cm}$ and $\text{height} = 6 \, \text{cm}$.
Substituting these values into the formula: $\text{Area} = \frac{1}{2} \times 4 \, \text{cm} \times 6 \, \text{cm} = 12 \, \text{cm}^2$.
Since the calculated area is $12 \, \text{cm}^2$ and not $24 \, \text{cm}^2$,the statement is False.
Given,$\text{base} = 4 \, \text{cm}$ and $\text{height} = 6 \, \text{cm}$.
Substituting these values into the formula: $\text{Area} = \frac{1}{2} \times 4 \, \text{cm} \times 6 \, \text{cm} = 12 \, \text{cm}^2$.
Since the calculated area is $12 \, \text{cm}^2$ and not $24 \, \text{cm}^2$,the statement is False.
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