Home
Class 9
MATHS
Delta ABC is an isosceles triangle in w...

` Delta ABC` is an isosceles triangle in which `A B= A C`. Side BA is produced to D such that `A D = A B` (see Fig. 7.34). Show that `/_B C D` is a right angle.

Text Solution

Verified by Experts


In isosceles triangle ABC, `AB = AC` (Given)
`∴ ∠ACB = ∠ABC` (Angles opposite to equal sides of a triangle are equal)
...
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NCERT|Exercise EXERCISE 7.5|4 Videos
  • SURFACE AREAS AND VOLUMES

    NCERT|Exercise EXERCISE 13.8|10 Videos

Similar Questions

Explore conceptually related problems

DeltaABC is an isosceles triangle with AB = AC. Side BA is produced to D such that AB = AD. Prove that angleBCD is a right angle.

abc is an isosceles triangle with AB=AC . Side BA is produced to D such that AB=AD. Prove that /_BCD is a right angle

DeltaABC is an isosceles triangle with AB=AC , side BA is produced to D such that AB=AD. Prove that angleBCD is a right angle.

In an isosceles triangle ABC with A B" "=" "A C , D and E are points on BC such that B E" "=" "C D (see Fig. 7.29). Show that A D""= "A E

D is a point on side BC of Delta ABC such that AD=AC (see Fig.7.47). Show that AB>AD

ABC is an isosceles triangle in which A B" "=""A C . AD bisects exterior angle PAC and C D" "||""A B . Show that (i) /_D A C" "=/_B C A and (ii) ABCD is a parallelogram.