NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.1 are part of NCERT Solutions for Class 7 Maths. Here we have given NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.1.

- The Triangle and its Properties Class 7 Ex 6.2
- The Triangle and its Properties Class 7 Ex 6.3
- The Triangle and its Properties Class 7 Ex 6.4
- The Triangle and its Properties Class 7 Ex 6.5
- The Triangle and its Properties Class 7 MCQ

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 7 |

Subject |
Maths |

Chapter |
Chapter 6 |

Chapter Name |
The Triangle and its Properties |

Exercise |
Ex 6.1 |

Number of Questions Solved |
3 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.1

**Question 1.**

In ∆PQR, D is the mid-point of \(\overline { QR } \).

**Solution:**

\(\overline { PM } \) is the altitude.

PD is the median.

No! QM ≠ MR.

**Question 2.**

Draw rough sketches for the following:

**(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.

**Solution:
**

**Question 3.**

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

**Solution:**

AD is the median.

AL is the altitude.

Draw a line segment BC. By paper folding, locate the perpendicular bisector of BC. The folded crease meets BC at D, its mid-point.

Take any point A on this perpendicular bisector. Join AB and AC. The triangle thus obtained is an isosceles ∆ABC in which AB = AC.

Since D is the mid-point of BC, so AD is its median. Also, AD is the perpendicular bisector of BC. So, AD is the altitude of ∆ABC.

Thus, it is verified that the median and altitude of an isosceles triangle are the same.

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