Question: In triangle DEF, if DE = 5 cm, EF = 12 cm, and DF = 13 cm, is the triangle a right triangle?
Options:
Yes
No
Not enough information
Only if angles are known
Correct Answer: Yes
Solution:
Using the Pythagorean theorem, 5² + 12² = 25 + 144 = 169 = 13², thus triangle DEF is a right triangle.
In triangle DEF, if DE = 5 cm, EF = 12 cm, and DF = 13 cm, is the triangle a rig
Practice Questions
Q1
In triangle DEF, if DE = 5 cm, EF = 12 cm, and DF = 13 cm, is the triangle a right triangle?
Yes
No
Not enough information
Only if angles are known
Questions & Step-by-Step Solutions
In triangle DEF, if DE = 5 cm, EF = 12 cm, and DF = 13 cm, is the triangle a right triangle?
Pythagorean Theorem – In a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Triangle Classification – Triangles can be classified based on their angles (acute, right, obtuse) and side lengths (scalene, isosceles, equilateral).
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