NCERT Solutions for Class 10 Maths Chapter 6 Exercise 6.4 Triangles in in Hindi and English Medium updated for session 2022-2023.

### NCERT Solutions for Class 10 Maths Chapter 6 Exercise 6.4

Class X Maths Ex. 6.4 solutions are for the students who are following latest NCERT Books 2022-2023. NCERT Solutions with the help of Apps can be viewed in Video Format. All NCERT/CBSE based Apps and Solutions for CBSE Board students using latest & Updated NCERT Books also for UP Board High school students who are following CBSE / NCERT Curriculum 2022-23 for their exams.

### 10 Maths Chapter 6 Exercise 6.4 Solutions

NCERT Solutions for Class 10 Maths Chapter 6 Exercise 6.4 Triangles in English medium as well as Hindi Medium free to use online or download in PDF updated for academic session 2022-23 for High School students. Move Class 10 Maths Chapter 6 main page for other exercises to download or online study. Join the Discussion Forum to ask your doubts and response to other’s questions. Vedic Maths is important tools for class 10 students to make calculation easier and faster.

Class: 10 | Mathematics |

Chapter 6: | Exercise 6.4 |

Content: | NCERT Exercises Solution |

Content Format: | Video and Text |

Medium: | English and Hindi Medium |

#### Class 10 Maths Chapter 6 Exercise 6.4 Solution in Hindi Medium

### Important Questions of 10th Maths exercise 6.4

### What is Area Theorem in class 10?

The ratio of areas of two similar triangles is equal to the square of the ratio of their corresponding sides. [This also known as Area Theorem. In this theorem, the ratio of area is equal to square of corresponding sides but ratio is also equal to the corresponding altitudes, median.]

### How many theorems are there in chapter 6, which may be asked to prove?

There are four theorems in class 6 which are asked to prove:

1. BPT or Thales Theorem

2. Area Theorem

3. Pythagoras Theorem

4. Converse of Pythagoras Theorem

#### About 10 Maths Exercise 6.4

In Exercise 6.4, mainly we have to solve the questions based on ratio of area of similar triangles with their corresponding sides, perimeters, altitudes, medians, etc. In Exercise 6.3, we have learnt that if triangles are similar then their sides are proportional. Here, we have to relate it from area also.

##### Extra Questions on Similar Triangles

- In triangle ABC, If AD is the median, Show that ABÂ² + ACÂ² = 2(ADÂ² + BDÂ²)
- In triangle ABC, angle C is a right angle. Points P & Q lies on the sides CA & CB respectively. Prove that AQÂ² + BPÂ² = ABÂ² + PQÂ²
- If AD and PS are medians of angle ABC and angle PQR respectively where angle ABC ~ angle PQR, Prove that AB/PQ = AD/PS.
- In an equilateral angle ABC, AD is perpendicular to BC, Prove that 3ABÂ² = 4ADÂ².
- Prove that the sum of the square of the sides of a rhombus is equal to the sum of the squares of its diagonals.

### How many questions are there in exercise 6.4 of class 10th Maths?

There is only 1 example (Example 9) and 9 questions in exercise 6.4 of class 10th Math.

### Is exercise 6.4 of class 10th mathematics based on theorems?

Yes, Exercise 6.4 of class 10th mathematics based on Theorem 6.6 (The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides).

### How much time students need to complete exercise 6.4 of class 10th math?

Students need at least 3 days to complete exercise 6.4 of class 10th math. Also this time depends on studentâ€™s speed and capability.

### Which question of class 10 Maths Exercise 6.4 is based on theorem 6.6?

Let âˆ† ABC ~ âˆ† DEF and their areas be, respectively, 64 cmÂ² and 121 cmÂ². If EF = 15.4 cm, find BC.