If the base of a triangle is 8 cm and the height is 5 cm, what is its area?

Study for the HSC Mathematics Standard 2 Exam. Utilize flashcards and multiple choice questions, each with hints and explanations. Prepare confidently for your exam success!

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

[

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

]

Given that the base of the triangle is 8 cm and the height is 5 cm, we can substitute these values into the formula:

[

\text{Area} = \frac{1}{2} \times 8 , \text{cm} \times 5 , \text{cm}

]

Calculating this gives:

[

\text{Area} = \frac{1}{2} \times 40 , \text{cm}^2 = 20 , \text{cm}^2

]

Thus, the area of the triangle is 20 cm². This confirms that the correct answer accurately follows from the standard area calculation for triangles, utilizing the provided measurements effectively.

The other options either miscalculate the area or use incorrect values or methods, demonstrating the importance of accurately applying the area formula.

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