https://file.aiquickdraw.com/mathbot/file/17269607802650wu493bp.jpg

The problem asks to find the area of the right triangle shown, with sides measuring 8 cm, 13 cm, and 19 cm. Since it is a right triangle, we can use the formula for the area of a triangle:

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

In this case, the base is 8 cm, and the height is 13 cm. Let's calculate the area.

\[
\text{Area} = \frac{1}{2} \times 8 \, \text{cm} \times 13 \, \text{cm}
\]
\[
\text{Area} = \frac{1}{2} \times 104 \, \text{cm}^2 = 52 \, \text{cm}^2
\]

So, the correct area is **52 cm²**.

Would you like more details or have any questions? Here are some related problems you might find useful:

1. What is the formula for the area of any triangle?
2. How can we verify if a triangle is a right triangle using the Pythagorean theorem?
3. How do we calculate the area of an equilateral triangle?
4. What is the significance of the base and height in determining a triangle’s area?
5. How would the area change if the height were doubled but the base stayed the same?

**Tip**: Always make sure to use the perpendicular height (not the slanted side) when calculating the area of a triangle!

Hallar el área del siguiente triángulo. Incluir las unidades correctas en la respuesta.

Learn how to find the area of a right triangle with sides measuring 8 cm, 13 cm, and 19 cm. This step-by-step solution uses the area formula for triangles and explains the significance of base and height. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation