# The Triangle and its Properties Exercise 6.1 – Class VII

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

1. In ∆ PQR, D is the mid pint of

PM is ______________________

PD is _______________________

Is QM = MR ?

1. 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.

1. 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:

1. 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

1. 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

1. 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.