NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.4 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.4.

- 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 6.4 |

Number of Questions Solved |
8 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.4

**Ex 6.4 Class 10 Maths Question 1.**

**Let ∆ABC ~ ∆DEF and their areas be, respectively, 64 cm ^{2} and 121 cm^{2}. If EF = 15.4 cm, find BC.**

**Solution:**

We have ∆ABC ~ ∆DEF

**Ex 6.4 Class 10 Maths Question 2.**

**Diagonals of a trapezium ABCD with AB || DC intersect each other at the point O. If AB = 2 CD, find the ratio of the areas of triangles AOB and COD.**

**Solution:**

In the figure below, a trapezium ABCD is shown, in which AB || DC and AB = 2DC. Its diagonals interest each other at the point O.

**Ex 6.4 Class 10 Maths Question 3.**

**In the given figure, ABC and DBC are two triangles on the same base BC. If AD intersects BC at O, show that: \(\frac { ar\left( ABC \right) }{ ar\left( DBC \right) } =\frac { AO }{ DO } \)**

Solution:

**Ex 6.4 Class 10 Maths Question 4.**

**If the areas of two similar triangles are equal, prove that they are congruent.**

**Solution:**

**Ex 6.4 Class 10 Maths Question 5.**

**D, E and F are respectively the mid-points of sides AB, BC and CA of ∆ABC. Find the ratio of the areas of ∆DEF and ∆ABC.**

**Solution:**

**Ex 6.4 Class 10 Maths Question 6.**

**Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians.**

**Solution:**

**Ex 6.4 Class 10 Maths Question 7.**

**Prove that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described on one of its diagonals.**

**Solution:**

**Ex 6.4 Class 10 Maths Question 8.**

**Tick the correct answer and justify
(i) ABC and BDE are two equilateral triangles such that D is the mid-point of BC. Ratio of the areas of triangles ABC and BDE is**

**(a)**2:1

**(b)**1:2

**(c)**4:1

**(d)**1:4

**(ii) Sides of two similar triangles are in the ratio 4:9. Areas of these triangles are in the ratio**

**(a)**2 :3

**(b)**4:9

**(c)**81:16

**(d)**16:81

**Solution:**

We hope the NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.2 help you. If you have any query regarding NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.4, drop a comment below and we will get back to you at the earliest.