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If a triangle meets the criteria of c2 < a2 + b2, then the triangle is acute.

True or false?

2 Answers

7 votes

Final answer:

If a triangle meets the criteria of c2 < a2 + b2, then the triangle is acute.

Step-by-step explanation:

The statement is true.

In a triangle, if the square of the longest side is less than the sum of the squares of the other two sides, then the triangle is acute.

For example, if we have a triangle with side lengths of 4, 5, and 6:

  • a = 4
  • b = 5
  • c = 6

Let's calculate:

  • a^2 + b^2 = 4^2 + 5^2 = 16 + 25 = 41
  • c^2 = 6^2 = 36

Since c^2 < a^2 + b^2 (36 < 41), the triangle is acute.

User Amit Agrawal
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7.6k points
1 vote
false i think...................\\\\\\\\\\\\\\\
User MichaelS
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7.3k points