HSC Mathematics Standard 2 2025 – 400 Free Practice Questions to Pass the Exam

Question: 1 / 400

What is the area of a triangle with a base of 8 and a height of 5?

20

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 8 units and the height is 5 units. Plugging these values into the formula gives:

\[

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

\]

Calculating this step by step:

1. Multiply the base (8) by the height (5):

\[

8 \times 5 = 40

\]

2. Now, take half of that product:

\[

\frac{1}{2} \times 40 = 20

\]

Thus, the area of the triangle is 20 square units. This aligns with the calculation based on the provided dimensions, confirming that the area is indeed 20.

The other options do not match the derived result from the calculations. For instance, 30, 40, and 10 do not follow from the area formula with the given triangle measurements.

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30

40

10

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