Chapter 6 Triangle and its Properties Exercise 6.1
Question 1: In Δ PQR, D is the mid-point of QR.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh_hSpSVzsQMWkAQn9X24IsBS3-92MT1Bl5RLWWi5hVGwWMIGtHzS6HIK4xXyORugGGIWH1NOxShcu-vlk3RXOul4EOiO-kULoa3-RROC2Ff5p7jlAUYV8hwffjJvxHDLoDO_56UYZNHw5e/s16000/PICS.png)
(i) PM is ____.
Answer: PM is an altitude because it has one end point at a vertex of the triangle and other on the line containing the opposite side.
(ii) PD is ____.
Answer: PD is a median because a median connects a vertex of a triangle to the mid-point of the opposite side.
(iii) Is QM = MR?
Answer: No, QM ≠ MR because M is not the median (which divides the base line segment into equal 2 halves). So QM ≠ MR.
Question 2: Draw rough sketches for the following:
(a) In ΔABC, BE is a median.
Answer:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEijGOXDcHC50AUITFeEetwviF_Zib4ewnPJEerQTrr00CknNjdO90YMsXpxMlXX8A-9gBaaWIOFbjZCGTmn0-NmAOi8AC1FCIOWg8pOMat3m2ilbUonkfAf9laYmGTS5rWOFxqbUHxLCA5L/s16000/PICS1.png)
Answer:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjCUK8GZXwl2DKnBaeNBRYT-Jg2G2kuLsxntYNcE6nz80nN3Yc625ReD6HPA2RhDxHRp8ru7Q7LKPlsZAc34BkCqFZQfLOds4S2puYsVW3ZOKQLSrVeJvm71Q5BednN5xVuyO3G8KCMiLUy/s16000/PICS2.png)
(c) In ΔXYZ, YL is an altitude in the exterior of the triangle.
Answer:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEixedinuFOizu5ijIYR2ftgM6y9cvkGryypsXOFGXOq2gqSQv6cJMntW6kUXyhnLbjh3_PxfOYp8id4JOTHiPIUEKUCFZyBZgWGT7qjL37lRQGxaRxwor1xLMn8XAllAS-_pO9eYHfl5mfP/s16000/PICS3.png)
Question 3: Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.
Answer:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgpMBo6tggmPI32gmM0yLKrDSxFAKHtdoUxMdWsWwYKlOcs__03PARw77Mwh0zDV0kNTOLiKU2k12dbJMuddXVegFuKT8l-urUylYpGmRKN7UDa4BafXeM1gpztA0MCKzcK3JkALSRtWJWl/s16000/PICS4.png)
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