Is a triangle with side lengths 2, 3, and 4 a right triangle?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

Prepare for the Grade 6 FAST Mathematics Test. Study with comprehensive questions, solutions, and tips to maximize your performance and excel in your exam!

Multiple Choice

Is a triangle with side lengths 2, 3, and 4 a right triangle?

Explanation:
A right triangle follows the Pythagorean idea: the square of the longest side must equal the sum of the squares of the other two sides. Here, the longest side is 4, and the others are 2 and 3. Calculate: 2^2 + 3^2 = 4 + 9 = 13, but 4^2 = 16. Since 13 doesn’t equal 16, this triangle isn’t right. The sides do form a valid triangle, because 2 + 3 > 4, 2 + 4 > 3, and 3 + 4 > 2, but it’s not a right triangle.

A right triangle follows the Pythagorean idea: the square of the longest side must equal the sum of the squares of the other two sides. Here, the longest side is 4, and the others are 2 and 3. Calculate: 2^2 + 3^2 = 4 + 9 = 13, but 4^2 = 16. Since 13 doesn’t equal 16, this triangle isn’t right. The sides do form a valid triangle, because 2 + 3 > 4, 2 + 4 > 3, and 3 + 4 > 2, but it’s not a right triangle.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy