Math Problem Statement
Solution
The triangle has two labeled sides: and . Given that the triangle is marked as isosceles (indicated by the two red tick marks), we can assume that the two sides with these markings are equal. Therefore:
Step-by-Step Solution
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Set up the equation:
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Solve for : Subtract from both sides: Subtract 7 from both sides: Divide by 7:
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Calculate : Substitute into the expression for :
Final Answer
The length of side is .
Would you like further details or have any questions?
Here are 5 related questions to expand on this concept:
- How do you determine if a triangle is isosceles based on given side lengths or angle properties?
- What are the steps to solve for a variable in similar geometric situations?
- How can we verify if a triangle is isosceles when given angle measures instead of side lengths?
- How would the approach change if the triangle were scalene instead of isosceles?
- How can you use properties of isosceles triangles to find missing angles?
Tip: Remember, in an isosceles triangle, the two equal sides are opposite the two equal angles, which can help in identifying congruent parts.
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Math Problem Analysis
Mathematical Concepts
Algebra
Geometry
Isosceles Triangle Properties
Formulas
Setting two expressions equal to solve for a variable
Theorems
Isosceles Triangle Theorem
Suitable Grade Level
Grades 8-10