NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.3

NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.3 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.3.

Board CBSE
Textbook NCERT
Class Class 10
Subject Maths
Chapter Chapter 6
Chapter Name Triangles
Exercise Ex 6.3
Number of Questions Solved 16
Category NCERT Solutions

NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.3

Ex 6.3 Class 10 Question 1.
State which pairs of triangles in the given figures 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 :
Ex 6.3 Class 10 Maths NCERT Solutions
Exercise 6.3 Class 10 Maths NCERT Solutions
Solution:
6.3 Class 10 Maths NCERT Solutions
Class 10 Ex 6.3 Maths NCERT Solutions

NCERT Maths Solution Class 9 Chapter 6 Exercise 6.3 Question 2.
In the given figure, ∆ODC ~ ∆OBA, ∠BOC = 125° and ∠CDO = 70°. Find ∠DOC, ∠DCO and ∠OAB.
Ex 6.3 Class 10 Maths NCERT Solutions
Solution:
Ex6.3 Class 10 Maths NCERT Solutions

NCERT Solutions For Class 10 Maths Chapter 6 Question 3.
Diagonals AC and BD of a trape∠ium ABCD with AB || DC intersect each other at the point O. Using a similarity criterion for two triangles, show that (frac { OA }{ OC }) = (frac { OB }{ OD })
Solution:
Exercise 6.3 Class 10 NCERT Solutions

Class 10 Maths Chapter 6 Question 4.
NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.3 7
Exercise 6.3 Maths NCERT Solutions
Solution:

Class 10 Maths Chapter 6 Exercise 6.3 NCERT Solutions
6.3 Maths Class 10 NCERT Solutions
Class 10 Exercise 6.3 Maths NCERT Solutions

Triangles Class 10 Question 5.
S and T are points on sides PR and QR of ∆PQR such that ∠P = ∠RTS. Show that ∆RPQ ~ ∆RTS.
Solution:
Ex 6.3 Maths NCERT Solutions

NCERT Class 10 Ex 6.3 Question 6.
In the given figure, if ∆ABE ≅ ∆ACD, show that ∆ADE ~ ∆ABC.
Exercise 6.3 Class 10 Maths NCERT Solutions
Solution:
Class 10 Maths Ex 6.3 NCERT Solutions

NCERT Solutions Class 10 Ex 6.3 Question 7.
In the given figure, altitudes AD and CE of ∆ABC intersect each other at the point P. Show that:
(i) ∆AEP ~ ∆CDP
(ii) ∆ABD ~ ∆CBE
(iii) ∆AEP ~ ∆ADB
(iv) ∆PDC ~ ∆BEC
Solution:
Class 10 6.3 Maths NCERT Solutions

NCERT Solutions For Class 10 Maths Ex 6.3 Question 8.
E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. Show that ∆ABE ~ ∆CFB.
Solution:
Ex.6.3 Class 10 Maths NCERT Solutions

NCERT Solutions Class 10 Maths Ch 6 Ex 6.3 Question 9.
In the given figure, ABC and AMP are two right triangles, right angled at B and M respectively. Prove that:
NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.3 17
Exercise 6.3 Class 10th Maths NCERT Solutions
Solution:
Class 10 Maths Exercise 6.3 NCERT Solutions

Ex 6.3 Class 10 NCERT Solutions Question 10.
CD and GH are respectively the bisectors of ∠ACB and ∠EGF such that D and H lie on sides AB and FE of ∆ABC and ∆EFG respectively. If ∆ABC ~ ∆FEG, show that
NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.3 20
Solution:
6.3 Class 10 Maths NCERT Solutions
Class 10 Maths Ch 6 Ex 6.3 NCERT Solutions
Class 10 Ex 6.3 Solutions Question 11.
In the given figure, E is a point on side CB produced of an isosceles triangle ABC with AB = AC. If AD ⊥ BC and EF ⊥ AC, prove that ∆ABD ~ ∆ECF.
6.3 Exercise Class 10 Maths NCERT Solutions
Solution:
Class 10 Maths Exercise 6.3 Solution NCERT Solutions

Triangles Class 10 NCERT Solutions Question 12.
Sides AB and BC and median AD of a triangle ABC are respectively proportional to sides PQ and QR and median PM of ∆PQR (see in given figure). Show that ∆ABC ~ ∆bPQR.
Ex. 6.3 Class 10 Maths NCERT Solutions
Solution:
Class 10th Maths Exercise 6.3 NCERT Solutions

NCERT Solutions For Class 10 Maths Chapter 6.3 Question 13.
D is a point on the side BC of a triangle ABC, such that ∠ADC = ∠BAC. Show that CA² = CB.CD.
Solution:
Exercise 6.3class 10 Maths NCERT Solutions

Class 10 Maths Chapter 6.3 Solutions Question 14.
Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR. Show that ∆ABC ~ ∆PQR.
NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.3 28
Solution:
NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.3 29

NCERT Solutions For Class 10 Maths Chapter 7 Question 15.
A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.
Solution:
NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.3 30
DE is a vertical pole of length = 6 m
Length of its shadow = 4 m
Let height of tower AB = h m
Length of its shadow = 28 m
In ∆ABC and ∆DEC,
∠ABC = ∠DEC [Each 90°]
∠C = ∠C [Common]
∆ABC ~ ∆DEC [AA]

NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.3 31

Exercise 6.3 Class 10 Question 16.
If AD and PM are medians of triangles ABC and PQR respectively, where
NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.3 32
Solution:
NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.3 33

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