Math Problem Statement

Find the area of the triangle with a base of 7.2 ft and a height of 2.6 ft.

Solution

To find the area of the triangle, we use the formula for the area of a triangle:

Area=12×base×height\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}

From the image:

  • The base of the triangle is 7.2ft7.2 \, \text{ft}
  • The height of the triangle is 2.6ft2.6 \, \text{ft}

Now we can substitute these values into the formula:

Area=12×7.2ft×2.6ft\text{Area} = \frac{1}{2} \times 7.2 \, \text{ft} \times 2.6 \, \text{ft}

Let me calculate that for you.The area of the triangle is approximately 9.36square feet9.36 \, \text{square feet}.

Would you like further clarification on this solution, or details about any step?

Here are some related questions you might find helpful:

  1. How do you find the area of a triangle with an obtuse angle?
  2. What happens to the area if both the base and height are doubled?
  3. Can you use other methods to find the area of a triangle, such as Heron's formula?
  4. How do you find the area of a triangle when only the sides are given?
  5. What is the difference between the base and height in various types of triangles?

Tip: Always make sure the base and height are perpendicular to each other when applying the area formula for a triangle.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Area of Triangles

Formulas

Area of a triangle = (1/2) × base × height

Theorems

-

Suitable Grade Level

Grade 6-8