https://file.aiquickdraw.com/mathbot/file/17264613285318dx8a6w5.jpg

The triangle in the image is a right triangle, and it seems like there is a smaller right triangle inside. To find the area of the larger triangle, we can break it into parts based on the information given.

### Approach:
We know the following:
- One side of the large triangle is 19 yards (hypotenuse of the right triangle).
- Another side is 15 yards.
- There is an altitude or height (represented by the dashed line) that is 7 yards.

### Step-by-step solution:

The area of a triangle is given by:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]

Here:
- The base of the larger triangle is 15 yards.
- The height (perpendicular distance from the base) is 7 yards.

So, plugging in these values:

\[
\text{Area} = \frac{1}{2} \times 15 \, \text{yds} \times 7 \, \text{yds}
\]
\[
\text{Area} = \frac{1}{2} \times 105 \, \text{yd}^2
\]
\[
\text{Area} = 52.5 \, \text{yd}^2
\]

### Final Answer:
The area of the triangle is **52.5 square yards**.

Would you like more details, or do you have further questions?

Here are 5 related questions you could explore:
1. How do you find the perimeter of this triangle?
2. How would the area change if the height was increased by 2 yards?
3. Can the Pythagorean Theorem verify the dimensions of this right triangle?
4. How do you find the angles of a right triangle given its sides?
5. What is the relationship between the sides of a right triangle?

#### Tip:
Always remember that the height of a triangle must be perpendicular to the base when calculating the area.

Find the area of the triangle in the image.

Learn how to find the area of a right triangle using the formula Area = 1/2 * base * height. This problem involves a triangle with a 15-yard base and a 7-yard height. Suitable for students in Grades 7-10, this step-by-step guide explores key geometric concepts and the right triangle theorem.

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