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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)