Let's solve each question step-by-step.

Question 6: Find the Perimeter

The triangle in question 6 shows that each side of the triangle is $4 \text{ cm}$. This indicates that it is an equilateral triangle.

For an equilateral triangle, the perimeter $P$ is calculated by: $P = 3 \times \text{side length}$

Given that each side is $4 \text{ cm}$: $P = 3 \times 4 = 12 \text{ cm}$

So, the answer to question 6 is: $P = 12 \text{ cm}$

Correct answer: 12 cm.

Question 7: Find the Area

In question 7, the triangle has a side length of $4 \text{ cm}$ and an altitude (height) of $2.3 \text{ cm}$. For a triangle, the area $A$ can be calculated using: $A = \frac{1}{2} \times \text{base} \times \text{height}$

Here, the base is $4 \text{ cm}$ and the height is $2.3 \text{ cm}$: $A = \frac{1}{2} \times 4 \times 2.3 = 2 \times 2.3 = 4.6 \text{ cm}^2$

So, the answer to question 7 is: $A = 4.6 \text{ cm}^2$

None of the answer options match $4.6 \text{ cm}^2$ exactly, but this is the correct area based on the information provided.

Would you like more details on these calculations, or do you have any questions?

Related Questions:

1. How would you find the perimeter if only two sides of the triangle were equal?
2. What would happen to the area if the altitude increased while keeping the base constant?
3. How is the area of an equilateral triangle calculated directly from the side length?
4. Can the area formula for triangles be applied to all types of triangles?
5. How does the area change if the base is doubled but the height remains the same?

Tip:

In equilateral triangles, knowing one side length is enough to find both the perimeter and area if you remember specific formulas.