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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