https://file.aiquickdraw.com/mathbot/file/1729068332043sfqx81qu.jpg

The image shows a triangle with a base of \(7 \, \text{cm}\) and a height of \(4 \, \text{cm}\). The formula to find the area \(A\) of a triangle is:

\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]

Substituting the given values:

\[
A = \frac{1}{2} \times 7 \, \text{cm} \times 4 \, \text{cm} = \frac{1}{2} \times 28 \, \text{cm}^2 = 14 \, \text{cm}^2
\]

So, the area of the triangle is \(14 \, \text{cm}^2\).

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. How would the area change if the base were doubled but the height remained the same?
2. What is the formula for the area of a triangle if you know all three sides (Heron's formula)?
3. How do you find the area of a triangle if the height is not given?
4. If a triangle has an area of 50 cm² and a base of 10 cm, what is the height?
5. Can you explain why the area formula for a triangle includes dividing by 2?

**Tip:** Always remember that the height of a triangle must be perpendicular to the base.

What is the area of the triangle with a base of 7 cm and a height of 4 cm?

Calculate the area of a triangle with a base of 7 cm and a height of 4 cm. This problem teaches how to use the area formula A = (1/2) × base × height. Suitable for middle school students in Grades 6-8.

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