Home
Class 9
MATHS
ABC is an isosceles triangle in which AB...

ABC is an isosceles triangle in which `AB = AC. AD` bisects exterior angle `QAC and CD "||" BA` as shown in the figure. Show that
(i) `angleDAC = angleBCA`
(ii) ABCD is a parallelogram

Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    NCERT TAMIL|Exercise EXERCISE - 8.4|6 Videos
  • QUADRILATERALS

    NCERT TAMIL|Exercise EXERCISE - 8.2|3 Videos
  • PROOFS IN MATHEMATICS

    NCERT TAMIL|Exercise EXERCISE - 15.4|15 Videos
  • REAL NUMBERS

    NCERT TAMIL|Exercise Example |94 Videos

Similar Questions

Explore conceptually related problems

DeltaABC is an isosceles triangle in which AB = AC. Show that /_ B = /_ C.

If Delta ABC is an isosceles triangle with angle C=90^(@) and AC=5 cm, then AB is

AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that, (i) AD bisects BC (ii) AD bisects /_ A.

In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see figure) Show that AD = AE

ABC is an isosceles triangle right angled at C. Prove that AB^(2) = 2AC^(2) .

ABC is a right angled triangle in which /_A = 90^@ and AB = AC . Show that /_B = /_C .

Diagonal AC of a parallelogram ABCD bisects angleA . Show that (i) it bisects angleC alo (ii) ABCD is a rhombus.

In the figure, ABC is a triangle in which AB= AC. Points D and E are points on the side AB and AC respectively such that AD=AE. Show that points B, C, E and D lie on a same circle.

ABCD is a quadrilateral in which AB= AD, the bisector of angle BAC and angle CAD intersect the sides BC and CD at the points E and F respectively. Prove that EF || BD.

ABC is a right angled isosceles triangles with angle B = 90 ^@ if D is a point on A B so that angle DCB = 15 ^@ and if Ad = 35 cm , then CD=