The area of a triangle is 456 sq.cm and its height is 24 cm. The length of its base is
A. 32
B. 36
C. 34
D. 38

Options

A. D
B. B
C. A
D. C

Answer

To find the length of the base of the triangle, we can use the formula for the area of a triangle:

\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]

Given:
- Area = 456 sq.cm
- Height = 24 cm

We can rearrange the formula to solve for the base:

\[ \text{base} = \frac{2 \times \text{Area}}{\text{height}} \]

Now, substituting the values we have:

\[ \text{base} = \frac{2 \times 456}{24} \]

Calculating the numerator:

\[ 2 \times 456 = 912 \]

Now, substituting back into the equation:

\[ \text{base} = \frac{912}{24} \]

Now, performing the division:

\[ \text{base} = 38 \text{ cm} \]

Thus, the length of the base of the triangle is **38 cm**.