The shape in the image is a right triangle. The area of a right triangle can be calculated using the formula:

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

Given:

• Base = 5.8 inches
• Height = 5 inches

Calculation:

$\text{Area} = \frac{1}{2} \times 5.8 \times 5$ $\text{Area} = \frac{1}{2} \times 29$ $\text{Area} = 14.5 \text{ square inches}$

Final Answer:

The area of the triangle is 14.5 square inches.

Would you like more details or have any questions?

Related Questions:

1. How would the area change if the base were increased by 2 inches?
2. What is the perimeter of this right triangle?
3. How do you find the hypotenuse of a right triangle?
4. What would the area be if both the base and height were doubled?
5. How does the Pythagorean theorem relate to this triangle?

Tip: When calculating the area of a triangle, remember that the base and height must be perpendicular to each other.