Your cart is empty.
Practice each question, then open the answer or worked solution.
In Δ PQR, D is the mid-point of 
.
(i) 
is ___.
Solution:-
Altitude
An altitude has one endpoint at a vertex of the triangle and another on the line containing the opposite side.
(ii) PD is ___.
Solution:-
Median
A median connects a vertex of a triangle to the mid-point of the opposite side.
(iii) Is QM = MR?
Solution:-
No, QM ≠ MR because D is the mid-point of QR.
Draw rough sketches for the following:
(a) In ΔABC, BE is a median.
Solution:-
A median connects a vertex of a triangle to the mid-point of the opposite side.
(b) In ΔPQR, PQ and PR are altitudes of the triangle.
Solution:-
An altitude has one endpoint at a vertex of the triangle and another on the line containing the opposite side.
(c) In ΔXYZ, YL is an altitude in the exterior of the triangle.
Solution:-
In the figure, we may observe that for ΔXYZ, YL is an altitude drawn exteriorly to side XZ which is extended up to point L.
Verify by drawing a diagram if the median and altitude of an isosceles triangle can be the same.
Solution:-
Draw a line segment PS ⊥ BC. It is an altitude for this triangle. Here, we observe that the length of QS and SR is also the same. So PS is also a median of this triangle.