Question: In triangle MNO, if MN = 12 cm, NO = 16 cm, and MO = 20 cm, is triangle MNO a right triangle?
Options:
Yes
No
Only if angle M is 90 degrees
Only if angle N is 90 degrees
Correct Answer: Yes
Solution:
Using the Pythagorean theorem, 12² + 16² = 144 + 256 = 400 = 20², so triangle MNO is a right triangle.
In triangle MNO, if MN = 12 cm, NO = 16 cm, and MO = 20 cm, is triangle MNO a ri
Practice Questions
Q1
In triangle MNO, if MN = 12 cm, NO = 16 cm, and MO = 20 cm, is triangle MNO a right triangle?
Yes
No
Only if angle M is 90 degrees
Only if angle N is 90 degrees
Questions & Step-by-Step Solutions
In triangle MNO, if MN = 12 cm, NO = 16 cm, and MO = 20 cm, is triangle MNO a right triangle?
Pythagorean Theorem – A fundamental principle in geometry that states 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 – A principle that states 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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