Math Problem Statement
Solution
To calculate the area of the given triangle:
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Identify the base and height:
- The base of the triangle is .
- The height of the triangle is .
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Use the formula for the area of a triangle:
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Substitute the values:
-
Simplify:
Final Answer:
The area of the triangle is .
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5 Related Questions:
- How would the area change if the base was doubled while keeping the height the same?
- What formula would you use if the triangle were a right triangle with only its two shorter sides given?
- How can the Pythagorean theorem be used to verify the lengths in this diagram?
- How do you calculate the area if only the angles and two sides are given?
- If the height is halved, what would the new area of the triangle be?
Tip:
Always ensure that the base and height of a triangle are perpendicular to each other before using the area formula!
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Math Problem Analysis
Mathematical Concepts
Geometry
Triangles
Area calculation
Formulas
Area = 1/2 × base × height
Theorems
Basic geometry theorem for calculating triangle area
Suitable Grade Level
Grades 6-8
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