Question: In triangle XYZ, if XY = 8 cm, YZ = 6 cm, and XZ = 10 cm, which of the following is true?
Options:
It is an equilateral triangle.
It is an isosceles triangle.
It is a scalene triangle.
It is a right triangle.
Correct Answer: It is a scalene triangle.
Solution:
Since all sides are of different lengths, triangle XYZ is a scalene triangle.
In triangle XYZ, if XY = 8 cm, YZ = 6 cm, and XZ = 10 cm, which of the following
Practice Questions
Q1
In triangle XYZ, if XY = 8 cm, YZ = 6 cm, and XZ = 10 cm, which of the following is true?
It is an equilateral triangle.
It is an isosceles triangle.
It is a scalene triangle.
It is a right triangle.
Questions & Step-by-Step Solutions
In triangle XYZ, if XY = 8 cm, YZ = 6 cm, and XZ = 10 cm, which of the following is true?
Step 1: Identify the lengths of the sides of triangle XYZ. We have XY = 8 cm, YZ = 6 cm, and XZ = 10 cm.
Step 2: Check if all sides are different lengths. Compare the lengths: 8 cm, 6 cm, and 10 cm.
Step 3: Since 8 cm is not equal to 6 cm, 8 cm is not equal to 10 cm, and 6 cm is not equal to 10 cm, all sides are different.
Step 4: Conclude that triangle XYZ is a scalene triangle because a scalene triangle has all sides of different lengths.
Triangle Classification – Understanding the classification of triangles based on side lengths (scalene, isosceles, equilateral).
Triangle Inequality Theorem – The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
