QQuestionMathematics
QuestionMathematics
The sides of a triangle have lengths 2, 3, and 4. What kind of triangle is it?
A. Equilateral
B. Isosceles
C. Scalene
D. Right
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Identify the given side lengths
- Side 3: $$4
The triangle has sides with lengths:
Step 3:: Compare the side lengths
- No two sides are exactly equal - The side lengths are different from each other
Step 4:: Determine triangle classification
- An equilateral triangle has all sides equal (not true here) - An isosceles triangle has two sides equal (not true here) - A scalene triangle has no sides equal (true in this case) - A right triangle requires the Pythagorean theorem to verify
Step 5:: Check Pythagorean theorem
4 + 9 = 13 \neq 16
2^{2} + 3^{2} \neq 4^{2}
Final Answer
Scalene (the triangle has three unequal sides)
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