Question: In triangle DEF, if DE = 5, EF = 12, and DF = 13, what type of triangle is it?
Options:
Equilateral
Isosceles
Right
Scalene
Correct Answer: Right
Solution:
Since 5^2 + 12^2 = 13^2 (25 + 144 = 169), triangle DEF is a right triangle.
In triangle DEF, if DE = 5, EF = 12, and DF = 13, what type of triangle is it?
Practice Questions
Q1
In triangle DEF, if DE = 5, EF = 12, and DF = 13, what type of triangle is it?
Equilateral
Isosceles
Right
Scalene
Questions & Step-by-Step Solutions
In triangle DEF, if DE = 5, EF = 12, and DF = 13, what type of triangle is it?
Pythagorean Theorem – A theorem 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 Classification – Triangles can be classified based on their side lengths and angles, including right, acute, and obtuse triangles.
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