NCERT Class 7 Mathematics Solutions: Chapter 6 –The Triangle and its Properties Exercise 6.1 Part 1

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Understanding of altitude

Understanding of Altitude

Understanding of altitude

1. In is mid-point of

is ____________.

is ____________.

Is ?

Triangle PQR and D is a Mid-Point

Triangle PQR and D is a mid-point of QR bar

Answer:

Given,

is altitude.

is median.

No, is the mid-point of .

2. Draw rough sketches for the following:

(a) In is a median.

(b) In are altitudes of the triangle.

(c) In is an altitude in the exterior of the triangle.

Answer:

(a) Here,

is a median in .

Triangle ABC and BE is a Median

Triangle ABC and BE is a median

(b) Here,

are the altitudes of the .

Triangle PQR, Altitudes of PQ and PR

Triangle PQR, altitudes of PQ and PR, also RP⊥QP

(c) is an altitude in the exterior of

Triangle XYZ and Altitude YL

Triangle XYZ and altitude YL are shown in figure

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

Answer:

Triangle ABC and AB=AC

Showing figure of triangle ABC and AB=AC

Isosceles triangle means any two sides are same.

Take and draw the median when .

is the median and altitude of the given triangle.