To solve this problem of finding the area of the triangle, we will use the standard formula for the area of a right triangle:

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

Given:

• Base $= 7$ units
• Height $= 6$ units

Step-by-step solution:

$\text{Area} = \frac{1}{2} \times 7 \times 6 = \frac{1}{2} \times 42 = 21 \, \text{square units}$

Now, looking at the provided options:

• 35
• 20
• 31.8
• 23.3

The closest option to 21 is 20.

Thus, the correct answer is 20.

Would you like more details or have any questions?

Here are some related questions:

1. What is the formula for finding the area of a triangle with any angles?
2. How does changing the base or height affect the area of a triangle?
3. Can you find the perimeter of the given triangle?
4. What happens if the height of a triangle is doubled?
5. How do you find the area of a non-right triangle?

Tip: When solving for area, always check if the base and height are perpendicular to each other.