NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.2 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.2.

- Triangles Class 10 Ex 6.1
- Triangles Class 10 Ex 6.2
- Triangles Class 10 Ex 6.3
- Triangles Class 10 Ex 6.4
- Triangles Class 10 Ex 6.5
- Triangles Class 10 Ex 6.6

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 10 |

Subject |
Maths |

Chapter |
Chapter 6 |

Chapter Name |
Triangles |

Exercise |
Ex 6.2 |

Number of Questions Solved |
10 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.2

**Ex 6.2 Class 10 Maths Question 1.**

**In the given figure (i) and (ii), DE || BC. Find EC in (i) and AD in (ii).**

Solution:

**Ex 6.2 Class 10 Maths Question 2.**

**E and F are points on the sides PQ and PR respectively of a ∆PQR. For each of the following cases, state whether EF || QR:**

**(i)** PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm

**(ii)** PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm

**(iii)** PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.36 cm

**Solution:**

**Ex 6.2 Class 10 Maths Question 3.**

**In the given figure, if LM || CB and LN || CD.**

Prove that \(\frac { AM }{ AB } =\frac { AN }{ A{ D }^{ \bullet } } \)

**Solution:**

**Ex 6.2 Class 10 Maths Question 4.**

**In the given figure, DE || AC and DF || AE.**

Prove that \(\frac { BF }{ FE } =\frac { BE }{ E{ C }^{ \bullet } } \)

**Solution:**

**Ex 6.2 Class 10 Maths Question 5.**

**In the given figure, DE || OQ and DF || OR. Show that EF || QR.**

Solution:

**Ex 6.2 Class 10 Maths Question 6.**

**In the given figure, A, B, and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR.**

Solution:

**Ex 6.2 Class 10 Maths Question 7.**

**Using B.P.T., prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that you have proved it in class IX)**

**Solution:**

The given figure shows an ∆ABC in which D is the mid-point of AB.

**Ex 6.2 Class 10 Maths Question 8.**

**Using converse of B.P.T., prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side. (Recall that your have done it in class IX)**

**Solution:**

The given figure shows a ΔABC in which D and E are mid-points of sides AB and AC respectively.

**Ex 6.2 Class 10 Maths Question 9.**

**ABCD is a trapezium in which AB || DC and its diagonals intersect each other at the point O. Show that \(\frac { AO }{ BO } =\frac { CO }{ D{ O }^{ \bullet } } \)**

**Solution:**

**Ex 6.2 Class 10 Maths Question 10.**

**The diagonals of a quadrilateral ABCD intersect each other at the point O such that \(\frac { AO }{ BO } =\frac { CO }{ D{ O }^{ \bullet } } \) Show that ABCD is a trapezium.**

**Solution:**

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