NCERT Class 10th Chapter 6 – Exercise 6.3 Triangles

NCERT full solutions  here you can find full detailed solutions for all the questions  with proper format. class 10 maths ncert solutions chapter 6 exercise 6.3 .

You can see the solution for complete chapter here –

EXERCISE – 6.3

QUE:-1 State which pairs of triangles in Fig. 6.34 are similar. Write the similarity criterion used by
you for answering the question and also write the pairs of similar triangles in the symbolic form :

NCERT Solutions for Class 10 Maths Chapter 6 Triangles 20

NCERT Solutions for Class 10 Maths Chapter 6 Triangles 21

SOL:-

 

NCERT Solutions for Class 10 Maths Chapter 6 pdf Triangles Ex 6.3 Q1
NCERT Solutions for Class 10 Maths Chapter 6 pdf Triangles Ex 6.3 Q1.1

QUE:-2 In Fig. 6.35, Δ ODC ~ D OBA, ∠ BOC = 125° and∠ CDO = 70°. Find ∠ DOC,∠ DCO and ∠ OAB.

NCERT Solutions for Class 10 Maths Chapter 6 Triangles 25

 

SOL:-

Ex 6.3 Class 10 Maths NCERT Solutions PDF Q2

QUE:-3 Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at the
point O. Using a similarity criterion for two triangles, show that OA/OC = OB/OD

 

SOL:-

Ex 6.3 Class 10 Maths NCERT Solutions PDF Q3

QUE:-4 In Fig. 6.36, QR/QS = QT/PR and ∠ 1 = ∠2. Show that Δ PQS ~ Δ TQR.

NCERT Solutions for Class 10 Maths Chapter 6 Triangles 29

SOL:-

Ex 6.3 Class 10 Maths NCERT Solutions PDF Q4

QUE:-5 S and T are points on sides PR and QR of Δ PQR such that∠ P =∠ RTS. Show that Δ RPQ ~ ΔRTS.

SOL:-

Exercise 6.3 Class 10 Maths NCERT Solutions PDF Q5

QUE:-6 In Fig. 6.37, ifΔ ABE ≅Δ ACD, show that Δ ADE ~Δ ABC.

SOL:-

NCERT Solutions for Class 10 Maths Chapter 6 Triangles 33

Exercise 6.3 Class 10 Maths NCERT Solutions PDF Q6

QUE:-7 In Fig. 6.38, altitudes AD and CE of Δ ABC intersect each other at the point P. Show that:
(i) Δ AEP ~ Δ CDP
(ii) Δ ABD ~ Δ CBE
(iii) Δ AEP ~ Δ ADB
(iv) Δ PDC ~ Δ BEC        NCERT Solutions for Class 10 Maths Chapter 6 Triangles 35

SOL:-

Exercise 6.3 Class 10 Maths NCERT Solutions PDF Q7

QUE:-8  E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. Show that

             Δ ABE ~ Δ CFB.

SOL:- 

Triangles Class 10 Ex 6.3 NCERT Solutions PDF Q8

QUE:-9 In Fig. 6.39, ABC and AMP are two right triangles, right angled at B and M
respectively. Prove that:
(i) Δ ABC ~ Δ AMP
(ii) CA/PA= BC/ MP

SOL:- 

             Triangles Class 10 Ex 6.3 NCERT Solutions PDF Q9

QUE:-10 CD and GH are respectively the bisectors of ∠ ACB and ∠ EGF such that D and H lie
on sides AB and FE of Δ ABC and Δ EFG respectively. If Δ ABC ~ Δ FEG, show that:
(i) CD/GH= AC/FG

(ii) Δ DCB ~ Δ HGE
(iii) Δ DCA ~ Δ HGF

SOL:- 

Triangles Class 10 Ex 6.3 NCERT Solutions PDF Q10
Triangles Class 10 Ex 6.3 NCERT Solutions PDF Q10.1

QUE:-11 In Fig. 6.40, E is a point on side CB produced of an isosceles triangle ABC
with AB = AC. If AD ⊥ BC and EF ⊥ AC, prove that Δ ABD ~ Δ ECF.

NCERT Solutions for Class 10 Maths Chapter 6 Triangles 43

SOL:- 

Chapter 6 Maths Class 10 Ex 6.3 NCERT Solutions PDF Q11

QUE:-12 Sides AB and BC and median AD of a triangle ABC are respectively proportional
to sides PQ and QR and median PM of Δ PQR (see Fig. 6.41). Show that Δ ABC ~ ΔPQR.

NCERT Solutions for Class 10 Maths Chapter 6 Triangles 45

SOL:- 

Chapter 6 Maths Class 10 Ex 6.3 NCERT Solutions PDF Q12

QUE:-13 D is a point on the side BC of a triangle ABC such that ∠ ADC = ∠ BAC. Show that CA² = CB.CD.

SOL:- 

Chapter 6 Maths Class 10 Ex 6.3 NCERT Solutions PDF Q13

You can see the solution for complete chapter here –

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