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!

Multiple Choice

If the base of a triangle is 10 cm and the height is 3 cm, what is its area?

To find the area of a triangle, the formula used is: \[ \text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height} \] In this case, the base of the triangle is 10 cm, and the height is 3 cm. Substituting these values into the formula gives: \[ \text{Area} = \frac{1}{2} \times 10 \, \text{cm} \times 3 \, \text{cm} \] Calculating this step-by-step: 1. First, multiply the base by the height: \[ 10 \, \text{cm} \times 3 \, \text{cm} = 30 \, \text{cm}^2 \] 2. Then, multiply by \( \frac{1}{2} \): \[ \frac{1}{2} \times 30 \, \text{cm}^2 = 15 \, \text{cm}^2 \] Thus, the area of the triangle is 15 cm². This shows why the correct answer is

To find the area of a triangle, the formula used is:

[

\text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height}

]

In this case, the base of the triangle is 10 cm, and the height is 3 cm. Substituting these values into the formula gives:

[

\text{Area} = \frac{1}{2} \times 10 , \text{cm} \times 3 , \text{cm}

]

Calculating this step-by-step:

  1. First, multiply the base by the height:

[

10 , \text{cm} \times 3 , \text{cm} = 30 , \text{cm}^2

]

  1. Then, multiply by ( \frac{1}{2} ):

[

\frac{1}{2} \times 30 , \text{cm}^2 = 15 , \text{cm}^2

]

Thus, the area of the triangle is 15 cm². This shows why the correct answer is