If a triangle has a base of 5 units and a height of 3 units, what is its area?

If a triangle has a base of 5 units and a height of 3 units, what is its area?

• A. 15 square units
• B. 7.5 square units
• C. 5 square units
• D. 12 square units

Answer: (B)

To find the area of a triangle, you can use the formula: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \] In this case, the base of the triangle is 5 units and the height is 3 units. Plugging these values into the formula gives: \[ \text{Area} = \frac{1}{2} \times 5 \times 3 = \frac{15}{2} = 7.5 \] Therefore, the area of the triangle is 7.5 square units. This result aligns with the choice selected, confirming it as the correct answer. The formula reflects the geometric principle that the area of a triangle is half of the area of a rectangle with the same base and height, which clarifies why this computation yields the expected unit of area.

To find the area of a triangle, you can use the formula:

[

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

]

In this case, the base of the triangle is 5 units and the height is 3 units. Plugging these values into the formula gives:

[

\text{Area} = \frac{1}{2} \times 5 \times 3 = \frac{15}{2} = 7.5

]

Therefore, the area of the triangle is 7.5 square units. This result aligns with the choice selected, confirming it as the correct answer. The formula reflects the geometric principle that the area of a triangle is half of the area of a rectangle with the same base and height, which clarifies why this computation yields the expected unit of area.