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In triangle XYZ, if XY = 8 cm, YZ = 6 cm, and XZ = 10 cm, which of the following
In triangle XYZ, if XY = 8 cm, YZ = 6 cm, and XZ = 10 cm, which of the following is true?
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Practice Questions
1 question
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.
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Since all sides are of different lengths, triangle XYZ is a scalene triangle.
Questions & Step-by-step Solutions
1 item
Q
Q: In triangle XYZ, if XY = 8 cm, YZ = 6 cm, and XZ = 10 cm, which of the following is true?
Solution:
Since all sides are of different lengths, triangle XYZ is a scalene triangle.
Steps: 4
Show Steps
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.
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