In triangle DEF, if DE = 8 cm, EF = 6 cm, and DF = 10 cm, what type of triangle

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Question: In triangle DEF, if DE = 8 cm, EF = 6 cm, and DF = 10 cm, what type of triangle is DEF?

Options:

Correct Answer: Scalene

Solution:

Since all sides are of different lengths, triangle DEF is a scalene triangle.

In triangle DEF, if DE = 8 cm, EF = 6 cm, and DF = 10 cm, what type of triangle is DEF?

In triangle DEF, if DE = 8 cm, EF = 6 cm, and DF = 10 cm, what type of triangle is DEF?

Step 1: Look at the lengths of the sides of triangle DEF. They are DE = 8 cm, EF = 6 cm, and DF = 10 cm.
Step 2: Check if all three sides are different lengths. DE (8 cm) is different from EF (6 cm) and DF (10 cm).
Step 3: Since DE, EF, and DF are all different lengths, we can conclude that triangle DEF does not have any equal sides.
Step 4: A triangle with all sides of different lengths is called a scalene triangle.
Step 5: Therefore, triangle DEF is a scalene triangle.

Triangle Classification – Triangles can be classified based on the lengths of their sides: scalene (all sides different), isosceles (two sides equal), and equilateral (all sides equal).