Wednesday, May 27, 2020

NCERT solution class 7 chapter 6 The Triangle and its Properties exercise 6.1 mathematics

EXERCISE  6.1



"The Triangle and Its Properties" Chapter 6 - Introduction - Class 7



Introduction - Ex. 6.1, Triangle and its Properties - NCERT Class 7th Maths

Q 1, Ex 6.1 - The Triangle and its Properties - Chapter 6 - Maths Class 7th - NCERT


QUESTION 1
In ΔPQR, D is the mid—point of $\overline{QR}$
(i) $\overline{PM}$ is ______ .
(ii) PD is ______ .
(iii) Is QM = MR ?

Sol :
(i) Altitude
(ii) Median
(iii) No


Q 2, Ex 6.1 - The Triangle and its Properties - Chapter 6 - Maths Class 7th - NCERT



QUESTION 2
Draw rough sketches for the following:
(a) In ∆ABC , BE is a median.
Sol :

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

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

Here, it can be observed that for XYZ  YL is an altitude drawn exterior to side XZ which is
extended up to point L.


Q 3, Ex 6.1 - The Triangle and its Properties - Chapter 6 - Maths Class 7th - NCERT



QUESTION 3
3. Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.
Sol :

Draw a line segment AD perpendicular to BC . It is an altitude for this triangle. It can be observed
It the length of BD and DC is also same. Therefore, AD is also a median of this triangle.

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