Study for the Geometry Regents Exam. Enhance your skills with flashcards and multiple choice questions, including hints and explanations. Prepare thoroughly for your test!

Multiple Choice

For a triangle, if the base is 10 units and the height is 5 units, what is the 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 given as 10 units, and the height is 5 units. Plugging these values into the formula gives: \[ \text{Area} = \frac{1}{2} \times 10 \times 5 \] Calculating this step-by-step: 1. Multiply the base and height: \[ 10 \times 5 = 50 \] 2. Then, take half of this product: \[ \frac{50}{2} = 25 \] Thus, the area of the triangle is 25 square units. This confirms that the correct answer aligns with the calculation, showcasing that the formula for the area of a triangle effectively utilizes both the base and height to arrive at the result.

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 given as 10 units, and the height is 5 units. Plugging these values into the formula gives:

[

\text{Area} = \frac{1}{2} \times 10 \times 5

]

Calculating this step-by-step:

  1. Multiply the base and height:

[

10 \times 5 = 50

]

  1. Then, take half of this product:

[

\frac{50}{2} = 25

]

Thus, the area of the triangle is 25 square units. This confirms that the correct answer aligns with the calculation, showcasing that the formula for the area of a triangle effectively utilizes both the base and height to arrive at the result.