KSEEB Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Ex 6.1

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
KSEEB Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Ex 6.1 1
\(\overline{\mathbf{P D}}\) is ___.
\(\overline{\mathbf{P D}}\) is the median of the ∆ PQR
Is QM = MR?
No, QM ≠ MR ?

KSEEB Solutions

Question 2.
Draw rough sketches for the following:
Solution:
a) In ∆ ABC, BE is a median
KSEEB Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Ex 6.1 2
b) In ∆ PQR, PQ and PR are altitudes of the triangle.
KSEEB Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Ex 6.1 3
c) In ∆XYZ, YL is an altitude in the exterior of the triangle.
KSEEB Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Ex 6.1 4

KSEEB Solutions

Question 3.
Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.
Solution:
KSEEB Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Ex 6.1 5
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).

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