NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.6

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NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.6

Get Free NCERT Solutions for Class 10 Maths Chapter 6 Ex 6.6 PDF. Triangles Class 10 Maths NCERT Solutions are extremely helpful while doing your homework. Exercise 6.6 Class 10 Maths NCERT Solutions were prepared by Experienced ncert-books.in Teachers. Detailed answers of all the questions in Chapter 6 Maths Class 10 Triangles Exercise 6.6 provided in NCERT TextBook.

NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.6

NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex Ex 6.6 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 6 Triangles Exercise 6.6

Question 1.
In the given figure, PS is the bisector of ∠QPR of ∆PQR. Prove that \frac { QS }{ SR } =\frac { PQ }{ PR }
NCERT Solutions for Class 10 Maths Chapter 6 pdf Triangles Ex 6.6 Q1Solution:
Ex 6.6 Class 10 Maths NCERT Solutions PDF Q1

 

Question 2.
In the given figure, D is a point on hypotenuse AC of ∆ABC, DM ⊥ BC and DN ⊥ AB. Prove that:
(i) DM2 = DN X MC
(ii) DN2 = DM X AN
NCERT Solutions for Class 10 Maths Chapter 6 pdf Triangles Ex 6.6 Q2Solution:
Ex 6.6 Class 10 Maths NCERT Solutions PDF Q2
Ex 6.6 Class 10 Maths NCERT Solutions PDF Q2.1

 

Question 3.
In the given figure, ABc is triangle in which ∠ABC > 90° and AD ⊥ CB produced. Prove that AC2 = AB2 + BC2  + 2BC X BD
NCERT Solutions for Class 10 Maths Chapter 6 pdf Triangles Ex 6.6 Q3Solution:
Exercise 6.6 Class 10 Maths NCERT Solutions PDF Q3

Question 4.
In the given figure, ABC is atriangle in which ∠ABC 90° and AD ⊥ CB. Prove that AC2 = AB2 + BC2 – 2BC X BD
NCERT Solutions for Class 10 Maths Chapter 6 pdf Triangles Ex 6.6 Q4Solution:
Exercise 6.6 Class 10 Maths NCERT Solutions PDF Q4

Question 5.
In the given figure, Ad is a median of a triangle ABC and AM ⊥ BC. Prove that
NCERT Solutions for Class 10 Maths Chapter 6 pdf Triangles Ex 6.6 Q5
Solution:
Exercise 6.6 Class 10 Maths NCERT Solutions PDF Q5
Exercise 6.6 Class 10 Maths NCERT Solutions PDF Q5.1

Question 6.
Prove that the sum of the squares of the diagonals of parallelogram is equal to the sum of the squares of its sides.
Solution:
Triangles Class 10 Ex 6.6 NCERT Solutions PDF Q6

Question 7.
In the given figure, two chords AB and CD intersect each other at the point P. Prove that:
(i) ∆APC ~∆DPB
(ii) AP X PB = CP X DP
NCERT Solutions for Class 10 Maths Chapter 6 pdf Triangles Ex 6.6 Q7
Solution:
Triangles Class 10 Ex 6.6 NCERT Solutions PDF Q7

Question 8.
In the given figure, two chords Ab and CD of a circle intersect each other at the point P (when produced) outside the circle. Prove that:
(i) ∆PAC ~ ∆PDB
(ii)PA X PB = PC X PD
NCERT Solutions for Class 10 Maths Chapter 6 pdf Triangles Ex 6.6 Q8Solution:
Triangles Class 10 Ex 6.6 NCERT Solutions PDF Q8

Question 9.
In the given figure, D is a point on side BC of ∆ABC, such that \frac { BD }{ CD } =\frac { AB }{ A{ C }^{ \bullet } } Prove that AD is the bisector of ∆BAC.
NCERT Solutions for Class 10 Maths Chapter 6 pdf Triangles Ex 6.6 Q9Solution:
Chapter 6 Maths Class 10 Ex 6.6 NCERT Solutions PDF Q9

Question 10.
Nazima is fly fishing in a stream. The trip of her fishing rod is 1.8m above the surface of the water and the fly at the end of the string rests on the water 3.6m away and 2.4 m from a point directly under the trip of the rod. Assuming that her string (from the trip of the rod to the fly) is that, how much string does she have out (see the figure)? If she pills in the string at the rate of 5 cm per second, what will be the  horizontal distance of the fly from her after 12 seconds?
NCERT Solutions for Class 10 Maths Chapter 6 pdf Triangles Ex 6.6 Q10Solution:
Chapter 6 Maths Class 10 Ex 6.6 NCERT Solutions PDF Q10

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