### The Triangle and its Properties Exercise 6.1 – Questions:

- In ∆ PQR, D is the mid pint of

PM is ______________________

PD is _______________________

Is QM = MR ?

- Draw rough sketch for the following:

- In ∆ABC, BE is the median
- In ∆PQR, PQ and PR are altitudes of the triangle.
- In ∆XYZ, YL is an altitude in the exterior of the triangle.

- Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.

## The Triangle and its Properties Exercise 6.1 – Solutions:

- In ∆ PQR, D is the mid pint of

PM is ______________________

PD is _______________________

Is QM = MR ?

Solution:

PM is altitude

PD is Mid-point

No, QM is not equal to MR

- Draw rough sketch for the following:

- In ∆ABC, BE is the median
- In ∆PQR, PQ and PR are altitudes of the triangle.
- In ∆XYZ, YL is an altitude in the exterior of the triangle.

Solution:

- In ∆ABC, BE is the median

- In ∆PQR, PQ and PR are altitudes of the triangle.

- In ∆XYZ, YL is an altitude in the exterior of the triangle

- Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.

Solution:

Yes. In an isosceles triangle ABC , median and altitude are same that is AD.