Question: In triangle XYZ, if XY = 8 cm, YZ = 6 cm, and XZ = 10 cm, which side is the longest?
Options:
XY
YZ
XZ
All sides are equal
Correct Answer: XZ
Solution:
The longest side in triangle XYZ is XZ, which measures 10 cm.
In triangle XYZ, if XY = 8 cm, YZ = 6 cm, and XZ = 10 cm, which side is the long
Practice Questions
Q1
In triangle XYZ, if XY = 8 cm, YZ = 6 cm, and XZ = 10 cm, which side is the longest?
XY
YZ
XZ
All sides are equal
Questions & Step-by-Step Solutions
In triangle XYZ, if XY = 8 cm, YZ = 6 cm, and XZ = 10 cm, which side is the longest?
Step 1: Identify the lengths of all three sides of triangle XYZ.
Step 2: The lengths are XY = 8 cm, YZ = 6 cm, and XZ = 10 cm.
Step 3: Compare the lengths of the sides to find the longest one.
Step 4: Compare 8 cm (XY), 6 cm (YZ), and 10 cm (XZ).
Step 5: Determine that 10 cm (XZ) is greater than both 8 cm and 6 cm.
Step 6: Conclude that the longest side in triangle XYZ is XZ, which measures 10 cm.
Triangle Properties – Understanding the properties of triangles, specifically that the longest side is opposite the largest angle and can be identified by comparing side lengths.
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