Ncert Solutions For Class 7 Maths Ex 6.1

Ncert Solutions For Class 7 Maths Chapter 6 Ex 6.1

Question 1:

In Δ ABC, X is the midpoint of BC.

AP is _____________

AX is _____________

Is BP = PC?

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Answer:

Given:

BX = XC

Therefore, AP is altitude.

AX is a median.

No, BP ≠ PC as X is the midpoint of BC

 

Question 2:

Draw a sketch for the following:

(i) In Δ PQR, QX is a median

(ii) In Δ ABC, AB and AC are altitudes of a triangle.

(iii) In ABC, BP is an altitude in the exterior of a triangle.

Answer:

(i) Here, QX is a median in ΔPQR and PX = XR

2

(ii) Here, AB and AC are the altitudes of the ΔABC and CA ^ BA

3

(iii) BP is an altitude in the exterior of ΔABC

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Question 3:

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

Answer:

Isosceles triangle means any two sides are same.

Take ΔPQR and draw the median when PQ= PR

PX is the median and altitude of the given triangle.

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