In an isosceles triangle the median joining the vertex to the midpoint of opposite side is also an altitude prove with a diagram
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Proved below.
Step-by-step explanation:
Given:
In the figure given below,
Let ΔABC be an isosceles triangle.
AB=AC [Property of isosceles triangle]
Alsop we know that in isosceles triangle angles opposite to equal sides are always equal.
∴ ∠ABC=∠ACB
And AD bisects ∠A
∴ BD=DC
Hence AD is altitude on BC.
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