Math Problem Statement
Solution
To solve this problem, we need to use the properties of an isosceles triangle and basic geometry.
Step-by-step explanation:
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Identify the triangle's structure:
- is an isosceles triangle, meaning two of its sides are equal.
- , indicating that the triangle is isosceles with the base , and the two equal sides are and .
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Sum of angles in a triangle:
- The sum of interior angles in any triangle is always .
- Let be the third angle. Since and :
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Side lengths:
- The length of side and the length of side .
- Since is isosceles, the two sides and must be equal.
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Solve for :
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Find the length of :
- Since , substitute :
Thus, the length of is 12 units.
Answer:
The correct option is B. 12.
Would you like a deeper explanation of any step? Here are some related questions you might find interesting:
- What is the importance of knowing the properties of isosceles triangles in geometry?
- Can you explain how to solve triangles that are not isosceles or equilateral?
- How can you apply angle properties in different types of triangles?
- How would this problem change if the angles were different?
- What are some real-world applications of isosceles triangles?
Tip: Always verify if triangles are isosceles or equilateral before solving for sides and angles, as their properties simplify the solution.
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Math Problem Analysis
Mathematical Concepts
Algebra
Isosceles Triangle Properties
Sum of Angles in a Triangle
Formulas
Sum of angles in a triangle = 180 degrees
Equal sides in an isosceles triangle
Theorems
Isosceles Triangle Theorem
Suitable Grade Level
Grades 7-9
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