The Triangle and Its Properties
Exercise 6.1
1). In D PQR, D is the mid-point of QR.
PM is _________________.
PD is _________________.
Is QM = MR?
Answer:
PM is altitude.
PD is median.
Is QM = MR?
No QM ≠ MR
2). Draw rough sketches for the following:
(a) In DABC, BE is a median.
(b) In DPQR, PQ and PR are altitudes of the triangle.
(c) In DXYZ, YL is an altitude in the exterior of the triangle.
Solution
(a) In DABC, BE is a median.
(b) In DPQR, PQ and PR are altitudes of the triangle.
(c) In DXYZ, YL is an altitude in the exterior of the triangle.
3). Verify by drawing a diagram if the median and altitude of an isosceles triangle can be the same.
DABC is an isosceles triangle with AB = AC
Draw AD median of the DABC
Now measure ÐADC with the help of a protractor
We find that ÐADC = 900
Thus, AD is meadian and also altitude of DABC.
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