Students can Download Chapter 6 The Triangles and Its Properties Ex 6.1, Question and Answers, Notes Pdf, KSEEB Solutions for Class 7 Maths, Karnataka State Board Solutions help you to revise complete Syllabus and score more marks in your examinations.

## Karnataka State Syllabus Class 7 Maths Chapter 6 The Triangles and Its Properties Ex 6.1

Question 1.

In ∆PQR, D is the mid-point of \(\overline{\mathbf{Q R}}\) \(\overline{\mathbf{P M}}\) is ___

Solution:

\(\overline{\mathbf{P M}}\) is the __altitude__ of the ∆PQR

∆ PQR

\(\overline{\mathbf{P D}}\) is ___.

\(\overline{\mathbf{P D}}\) is the __median__ of the ∆ PQR

Is QM = MR?

No, QM ≠ MR ?

Question 2.

Draw rough sketches for the following:

Solution:

a) In ∆ ABC, BE is a median

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

c) In ∆XYZ, YL is an altitude in the exterior of the triangle.

Question 3.

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

Solution:

In the ∆PQR

PQ = PR

PM is the Median (∵ QM = MR)

PM is the altitude. (∵ PMR = 90°)

∴ In this isosceles triangle median and altitude are the same. (proved / verified).