Math Problem Statement
Solution
The image depicts a triangle where:
- The base of the triangle is ,
- The height (perpendicular from the base to the opposite vertex) is .
The formula to find the area of a triangle is:
Substituting the given values:
Thus, the area of the triangle is 66.5 square yards.
Would you like further details, or do you have any questions?
Here are some related questions:
- How would the area change if the base was doubled?
- What is the perimeter of the triangle given its sides?
- Can you calculate the hypotenuse if this was a right triangle?
- How does the area formula for a triangle relate to other shapes?
- What if you only knew two sides and the angle between them—could you still find the area?
Tip: Always ensure the height used in the area calculation is perpendicular to the base!
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of Triangles
Formulas
Area of a triangle: A = (1/2) × base × height
Theorems
Basic area formula for triangles
Suitable Grade Level
Grades 6-8
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