1. InA PQR, D is the mid-point of QR.
PM is ————
PD is ————–
Is QM =MR?
Solution:
Given, PM is perpendicular on QR. Therefore, PM is altitude.
Also, D is the mid-point of QR.
QD=DR
PD is median
No, QM ≠ MR, because D is the mid-point of QR.
2. Drawrough sketches for the following:
(a) In△ABC, BE isa median.
(b) In △PQR, PQ and PR are altitudes of the triangle.
(c) In△XYZ, YLis an altitude in the exterior of the triangle.
Q3. Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.
Solution:
Draw a triangle ABC and then draw a line segment AD perpendicular to BC. AD is an Altitude of the triangle. It can be observed that length of BD and DC is also same.
Therefore, AD is also a median of this Triangle.
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