Question: In triangle DEF, if DE = 6, DF = 8, and EF = 10, is triangle DEF a right triangle?
Options:
Yes
No
Not enough information
Only if DE is the hypotenuse
Correct Answer: Yes
Solution:
Using the Pythagorean theorem, 6² + 8² = 36 + 64 = 100 = 10², so triangle DEF is a right triangle.
In triangle DEF, if DE = 6, DF = 8, and EF = 10, is triangle DEF a right triangl
Practice Questions
Q1
In triangle DEF, if DE = 6, DF = 8, and EF = 10, is triangle DEF a right triangle?
Yes
No
Not enough information
Only if DE is the hypotenuse
Questions & Step-by-Step Solutions
In triangle DEF, if DE = 6, DF = 8, and EF = 10, is triangle DEF 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.
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