Home
Class 10
MATHS
CD and GH are respectively the bisectors...

CD and GH are respectively the bisectors of `angle ACB and angle EGF` such that D and H lie on sides AB and FE of `Delta ABC and Delta FEG` respectively. If `Delta ABC ~ Delta FEG`, then show that
(i) `(CD)/(GH) = (AC)/(FG)` (ii) `Delta DCB ~ Delta HGE ` (iii) ` Delta DCA ~ Delta HGF`

Promotional Banner

Topper's Solved these Questions

  • SIMILAR TRIANGLES

    NCERT BANGLISH|Exercise EXERCISE - 8.3|6 Videos

  • SIMILAR TRIANGLES

    NCERT BANGLISH|Exercise EXERCISE - 8.4|14 Videos

  • SIMILAR TRIANGLES

    NCERT BANGLISH|Exercise EXERCISE - 8.1|9 Videos

  • SETS

    NCERT BANGLISH|Exercise Try This|11 Videos

  • STATISTICS

    NCERT BANGLISH|Exercise THINK AND DISCUSS|8 Videos

Similar Questions

Explore conceptually related problems

CD and GH are the bisectors of /_ACB and /_EGF respectively. If D lies on AB of DeltaABC and H lies on EF of DeltaEFG and if DeltaABC~DeltaEFG , then prove that (a) (CD)/(GH)=(AC)/(FG) , (b) DeltaDCB~DeltaHGE , (c ) DeltaDCA~DeltaHGF

In Delta ABC,AB= AC, BE and CF are resepectively the bisectors of angle ABC and angle ACB and itersect the sides AC and AB at the points E and F resepectively. Then four points B,C,E,F are not concylic.

If the bisector of angle A of triangle ABC makes an angle theta with BC, then sin theta is

D, E, F are mid points of sides BC, CA, AB of Delta ABC . Find the ratio of areas of Delta DEF and Delta ABC .

In triangle ABC, angleABC=angleACB . The bisectors of angleABCandangleACB intersect AC and AB at E and F respectively. Prove that FE||BC.

If the bisector of an angle of a triangle also bisects the opposite side, prove that the triangle is isosceles.

In a right triangle ABC right-angled at B, if P and Q are points on the side AB and AC respectively, then___

ABC is an isosceles triangle right angled at B. Similar triangles ACD and ABE are constructed on sides AC and AB. Find the ratio between the areas of Delta ABE and Delta ACD

Let G be the centroid of triangle ABC and the circumcircle of triangle AGC touches the side AB at A If BC = 6, AC = 8 , then the length of side AB is equal to