Ex 6.1, 3 Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.First,
Let’s construct an isosceles triangle ABC
of base BC = 6 cm and equal sides AB = AC = 8 cm
Steps of construction
1. Draw line BC = 6 cm
2. We need to make AB and BC as 8 cm.
Taking B as center, and opening compass to 8 cm, we draw an arc.
Now, taking C as center, opening compass to 8 cm, we draw another arc
3. Where both arcs intersect is point A
Join AB and AC
Now,
We know that Mid point of BC is at 3 cm.
Let’s call it D.
Hence,
AD is the median of isosceles ∆ABC
Now,
When we measure ∠ADC by a protector
the angle is 90°
Which means
AD ⊥ BC
∴ AD is median and altitude of isosceles ∆ABC

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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