In \( \Delta XYZ \), length of \( XY = 13 \) cm. If the length of the median drawn from vertex \(Z\) to base \(XY\) is \(6.5\) cm, then \( \Delta XYZ \) is a/an:
Question and options
In , length of cm. If the length of the median drawn from vertex to base is cm, then is a/an:
- acute angled triangle
- obtuse angled triangle
- equilateral triangle
- right angled triangle
Answer and explanation
Correct answer: D - right angled triangle
The median to XY is 6.5 = XY/2, so Z lies on the circle with diameter XY (MX = MY = MZ). The angle at Z is 90 degrees: a right-angled triangle.
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