Question: In triangle XYZ, if XY = 7 cm, YZ = 24 cm, and XZ = 25 cm, is triangle XYZ a right triangle?
Options:
Yes
No
Only if angle Y is 90 degrees
Only if angle Z is 90 degrees
Correct Answer: Yes
Solution:
Using the Pythagorean theorem, 7^2 + 24^2 = 49 + 576 = 625 = 25^2, thus triangle XYZ is a right triangle.
In triangle XYZ, if XY = 7 cm, YZ = 24 cm, and XZ = 25 cm, is triangle XYZ a rig
Practice Questions
Q1
In triangle XYZ, if XY = 7 cm, YZ = 24 cm, and XZ = 25 cm, is triangle XYZ a right triangle?
Yes
No
Only if angle Y is 90 degrees
Only if angle Z is 90 degrees
Questions & Step-by-Step Solutions
In triangle XYZ, if XY = 7 cm, YZ = 24 cm, and XZ = 25 cm, is triangle XYZ a right triangle?
Pythagorean Theorem – In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Triangle Inequality Theorem – The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
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