For a triangle, if the base is 10 units and the height is 5 units, what is the area?

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

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.

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