NCERT Solutions For Class 10 Maths Chapter 6 Triangles

📝 NCERT Solutions For Class 10 Maths Chapter 6 Triangles

EXERCISE 6.1

1. Fill in the blanks using the correct word given in brackets :

(i) All circles are................ (congruent, similar)

(ii) All squares are.................. (similar, congruent)

(iii) All ..................... triangles are similar. (isosceles, equilateral)

(iv) Two polygons of the same number of sides are similar, if (a) their corresponding angles are .................. and (b) their corresponding sides are .................. (equal, proportional).

Ans: 

(i) similar

(ii) similar

(iii)  equilateral

(iv) equal, proportional

2. Give two different examples of pairs of (i) similar figures. (ii) non-similar figures.

Solution:

 (i) similar figures.

Two circles 

Two Squares 

(ii) non-similar figures

Rectangle & Circle

Triangle & Rectangle

3. State whether the following quadrilaterals are similar or not:

Solution:

`angleP ne angleA`,  `angleQ ne angleB`,  `angleR ne angleC`,  `angleS ne angleD`

`therefore` PQRS ≁  ABCD

★★★★★★★★★

EXERCISE 6.2

1. In Fig, (i) and (ii), DE || BC. Find EC in (i) and AD in (ii).

Solution:

(i) Given `DE∥ BC`

so,   `frac{AD}{DB} = frac{AE}{EC}`   (By BPT)

`Rightarrow 1.5/3 = frac{1}{EC}`

`therefore EC = 3/1.5 = 2 cm`

(ii)  Given `DE∥ BC`

so,   `frac{AD}{DB} = frac{AE}{EC}`   (By BPT)

`Rightarrow  frac{AD}{7.2} = 1.8/5.4`

`therefore AD = frac{7.2 ×1.8}{5.4} = 2.4 cm`

Work in progress