Home
Class 9
MATHS
In Fig. 7.48, sides AB and AC of DeltaA...

In Fig. 7.48, sides `AB and AC` of `DeltaA B C` are extended to points `P and Q` respectively. Also, `/_P B C\ < /_Q C B`. Show that `A C\ >\ A B`.

Text Solution

Verified by Experts

`(##IX_07_E04_02_s01##)`
In the given figure,
`∠ABC + ∠PBC = 180^@` [Linear pair of angles]
Also, `∠ABC = 180^@- ∠PBC ` ... (1)
...
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NCERT ENGLISH|Exercise EXERCISE 7.1|8 Videos
  • TRIANGLES

    NCERT ENGLISH|Exercise Solved Examples|9 Videos
  • TRIANGLES

    NCERT ENGLISH|Exercise EXERCISE 7.2|8 Videos
  • SURFACE AREAS AND VOLUMES

    NCERT ENGLISH|Exercise Exercise 13.9|3 Videos

Similar Questions

Explore conceptually related problems

The sides A B and A C of a A B C are produced to P and Q respectively. If the bisectors of /_P B C AND /_Q C B intersect at O , then /_boc=90^0-1/2/_A GIVEN : A A B C in which sides A B and A C are produced to P and Q respectively. The bisectors of /_P B C and /_Q C B intersect at Odot

In A B C and P Q R Figure, A B=P Q ,B C=Q R and C B and R Q are extended to X and Y respectively and /_A B X = /_P Q Ydot Prove that A B C~=P Q Rdot Figure

If a line intersects sides AB and AC of a DeltaA B C at D and E respectively and is parallel to BC, prove that (A D)/(A B)=(A E)/(A C)

In ΔABC a n d\ Δ P Q R ,\ A B=P Q ,\ B C=Q R\ a n d\ C B\ a n d\ R Q are extended to X\ a n d\ Y respectively and /_A B X=/_P Q Y . Prove that A B C~=\ P Q R .

In Fig. 4.34, A ,\ B and C are points on O P ,\ O Q and O R respectively such that A B P Q and B C Q R . Show that A C P R . (FIGURE)

In Fig. 10.20, the sides A B ,\ B C and C A of triangle A B C touch a circle with centre O and radius r at P ,\ Q and R respectively. (FIGURE) Prove that: 1) AB + CQ = AC + BQ

Triangles A B C and P Q R are both isosceles with A B=A C and P Q=P R respectively. If also, A B=P Q\ a n d\ B C=Q R , are the two triangles congruent? Which condition do you use? If /_\ B=\ 50^0, what is the measure of /_R ?

In Fig.100, A B || C D\ a n d\ E F is a transversal intersecting AB and CD at P and Q respectively. The measure of /_D Q P is (a) 65 (b) 25 (c) 115 (d) 105

In a triangle A B C , let P and Q be points on AB and AC respectively such that P Q || B C . Prove that the median A D bisects P Q .

In Figure altitudes AD and CE of A B C intersect each other at the point P. Show that:(i) DeltaA E P~ DeltaC D P (ii) DeltaA B D ~DeltaC B E (iii) DeltaA E P~ DeltaA D B (iv) DeltaP D C ~DeltaB E C