Chapter 14. Similarity of Triangles NIOS Class 10 Mathematics Chapter-Wise Important Questions and Answers

Chapter 14. SIMILARITY OF TRIANGLES

Optional Questions and Answers for Algebraic Expressions and Polynomials [1 Mark]

CHECK YOUR PROGRESS 3.1

gfhhhhhhhhhhhhh

Long Questions and Answers for Algebraic Expressions and Polynomials [ 3 or 4 Mark]

CHECK YOUR PROGRESS 14.1

1. In Fig. 14.7 (i) and (ii), PQ || BC. Find the value of x in each case.

Photo

Solution: (i) Here, AP = 3 cm , PB = 4 cm , AQ = 4.5 cm and QC = x

In ∆ABC and PQ || BC , we have

APPB=AQQC

⇒ 34 =4.5x

⇒3x=4×4.5

⇒x=4×4.53=4×1.5=6.0

⇒x=6 cm

(ii) Here, AP = 3.5 cm , PB = 4 cm , AQ = 5.25 cm and QC = x

In ∆ABC and PQ || BC , we have

APPB=AQQC

⇒ 3.54 =5.25x

⇒3.5x=4×5.25

⇒x=4×5.253.5=4×1.5=6.0

⇒x=6 cm

2. In Fig. 14.8 [(i)], find whether DE || BC is parallel to BC or not? Give reasons for your answer.

Photo

Solution: Here, AD = 3 cm , DB = 4.5 cm , AE = 4.5 cm and 5.75 cm

ADDB=34.5=3045=23

AEEC=4.55.75=450575=1823

ADDB≠AEEC

So, DE||BC is not parallel to BC .

Posted 1 month ago

Contact Info