Question: If the lengths of the sides of triangle ABC are 7 cm, 24 cm, and 25 cm, is it a right triangle?
Options:
Yes
No
Only if angle A is 90 degrees
Only if angle B is 90 degrees
Correct Answer: Yes
Solution:
Yes, because 7² + 24² = 49 + 576 = 625 = 25², satisfying the Pythagorean theorem.
If the lengths of the sides of triangle ABC are 7 cm, 24 cm, and 25 cm, is it a
Practice Questions
Q1
If the lengths of the sides of triangle ABC are 7 cm, 24 cm, and 25 cm, is it a right triangle?
Yes
No
Only if angle A is 90 degrees
Only if angle B is 90 degrees
Questions & Step-by-Step Solutions
If the lengths of the sides of triangle ABC are 7 cm, 24 cm, and 25 cm, is it 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 – 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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