EXERCISE 6.1
1). In ΔPQR, D is the midpoint of QR.
i) PM is ________ ii) PD is _______ iii) Is QM = MR?
Ans:
i) Altitude
ii) Median
iii) No, QM ≠ MR because, D is the midpoint of QR.
2). Draw rough sketches for the following :
a) In ΔABC, BE is a median
Ans:
b) In ΔPQR, PQ and PR are altitudes of the triangle.
Ans:
c) In ΔXYZ, YL is an altitude in the exterior of the triangle.
Ans:
d) Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.
Ans: Draw a line segment BD ⊥ AC. It is an altitude for this triangle. Here we can see
that length AD = DC. So, BD is also a median of this triangle.
