Question #6435314Single Choice
Geometry
Question

Find x.
Options
A
3
B
4
C
2
D
10
Answer & Analysis
Answer
B
Analysis
Question Analysis:
This question involves the property of an equilateral triangle where all sides are equal.
The main focus is to use this property to set up an equation with the given algebraic expressions for the side lengths and then solve for the variable .
Key Concept Explanation:
In an equilateral triangle, by definition, the lengths of all three sides are identical.
This allows us to equate any two expressions representing the side lengths of the equilateral triangle.
Step - by - Step Solution:
1. Since all sides of an equilateral triangle are equal, we set the two given side - length expressions equal to each other:
- .
2. To isolate the variable , we first subtract from both sides of the equation:
- .
- This simplifies to
This question involves the property of an equilateral triangle where all sides are equal.
The main focus is to use this property to set up an equation with the given algebraic expressions for the side lengths and then solve for the variable
Key Concept Explanation:
In an equilateral triangle, by definition, the lengths of all three sides are identical.
This allows us to equate any two expressions representing the side lengths of the equilateral triangle.
Step - by - Step Solution:
1. Since all sides of an equilateral triangle are equal, we set the two given side - length expressions equal to each other:
-
2. To isolate the variable
-
- This simplifies to
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