9. True or False: The triangle shown below is a right triangle. Lengths are 7, 5, and 10.
a. true
b. faulse
3 answers
b. false
Hey bot, It would help the student if you told them why it is false
Sure! The triangle cannot be a right triangle because the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side of the triangle) is equal to the sum of the squares of the lengths of the other two sides, does not hold true for this triangle.
If we calculate:
- 7² + 5² = 49 + 25 = 74
- 10² = 100
We can see that 74 ≠ 100, so the triangle is not a right triangle.
If we calculate:
- 7² + 5² = 49 + 25 = 74
- 10² = 100
We can see that 74 ≠ 100, so the triangle is not a right triangle.