Math Problem Statement

Find the area of the triangle below. Be sure to include the correct unit in your answer.

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 19yd19 \, \text{yd},
  • The height of the triangle is 7yd7 \, \text{yd}.

Step 1: Substitute the values into the formula

Area=12×19yd×7yd\text{Area} = \frac{1}{2} \times 19 \, \text{yd} \times 7 \, \text{yd}

Step 2: Calculate

Area=12×133yd2=66.5yd2\text{Area} = \frac{1}{2} \times 133 \, \text{yd}^2 = 66.5 \, \text{yd}^2

Thus, the area of the triangle is:

66.5square yards66.5 \, \text{square yards}

Would you like further details or explanations on this?

Here are 5 related questions for more practice:

  1. What is the formula for the area of a right triangle?
  2. How do you find the height of a triangle if only the area and base are given?
  3. Can you calculate the perimeter of this triangle?
  4. How do you convert square yards to square feet?
  5. How do you calculate the area of a triangle with different dimensions?

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Math Problem Analysis

Mathematical Concepts

Geometry
Area Calculation

Formulas

Area = (1/2) * base * height

Theorems

Basic properties of triangles

Suitable Grade Level

Grades 6-8