Download NCERT Solutions for Class 10 Maths Chapter 6 Exercise 6.4 triangles in English Medium and Hindi Medium to view online. NCERT Books solutions for all subjects of class x are given free to use. Download Exercise 6.1 or Exercise 6.2 or Exercise 6.3 or Exercise 6.5 or Exercise 6.6 in PDF form or study online.

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

If you need solutions in Hindi, Click for Hindi Medium solutions of 10 Maths Exercise 6.4

### Class 10 Maths Exercise 6.4 Solutions in Hindi Medium

To get the solutions in English, Click for English Medium solutions.

##### Important Questions – Triangles

###### Selected from Board papers

- Prove that the ratio of the area of two similar triangles is equal to the ratio of the squares of their corresponding sides.
- For going to a city B from city A, there is a route via city C such that AC is perpendicular to CB, AC =2 x km and CB = 2 (x + 7) km. It is proposed to construct a 26 km highway which directly connects the two cities A and B. Find how much distance will be saved in reaching city B from city A after the construction of the highway.
- Through the vertex D of a parallelogram ABCD, a line is drawn to intersect the sides BA and BC produced at E and F respectively. Prove that DA/AE = FB/BE = FC/CD.
- Prove that if in a triangle, the square on one side is equal to the sum of the squares on the other two sides, then the angle opposite to the first side is a right angle.
- The length of the diagonals of rhombus are 16 cm and 12 cm, find the side of the rhombus.
- In an equilateral ∆ABC, AD is perpendicular to BC and AD²/BC² = x. Find the value of x.
- In ∆ABC, if DE || BC, AD = x + 1, DB = x – 1, AE = x + 3 and EC = x, then find the value of x.
- If the ratio of corresponding sides of two similar triangles is 2:3, then what is the ratio of their corresponding heights?
- If ∆ABC ~ ∆DEF such that BC = 3 cm, EF= 5 cm and area of ∆ABC= 36 cm2 find the area of ∆DEF.
- In ∆ABC, AB = 6 3 cm, AC = 12 cm and BC = 6 cm, what is the measure of angle B?
- If the ratio of corresponding medians of two similar triangles is 5:3 then what is the ratio of their corresponding areas?