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The sides B C ,C A and A B of a triang...

The sides `B C ,C A` and `A B` of a triangle `A B C ,` are produced in order, forming exterior angles `/_A C D ,/_B A E` and `/_C B F` . Show that `/_A C D+/_B A E+/_C B F=360^0`

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`BO=DC`
`In /_ABD and /_ACD`
`AD=AD`(common)
`/_ADB=/_ADC`(each 90)
`BD=CD`(given)
`/_ABD cong /_ACD`(SAS)
`AB=AC`
ABC is isosceles.
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The sides B C ,\ C A\ a n d\ A B\ of a triangle A B C , are produced in order, forming exterior angles /_A C D ,\ /_B A E\ a n d\ /_C B Fdot Show that /_A C D+\ /_B A E+\ /_C B F=360^0

In Figure, /_B C D=/_A D C and /_A C B=/_B D Adot Prove that A D=B C and /_A=/_B

D is a point on the side BC of a triangle ABC such that /_A D C=/_B A C . Show that C A^2=C B.C D .

The side B C\ of a triangle A B C is produced, such that D is on the ray B Cdot The bisector of /_A meets B C in L as shown in Figure. Prove that /_A B C+/_A C D=2/_A L C

(Exterior Angle Theorem): If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles. GIVEN : A triangle A B C,D is a point of B C produced, forming exterior angle /_4. TO PROVE : /_4=/_1+/_2 i.e. , /_A C D=/_C A B+/_C B Adot

In Fig. if A B_|_B C and D E_|_A C . Prove that A B C ~ A E D

In a \ A B C ,\ A D bisects /_A\ a n d\ /_C >/_Bdot Prove that /_A D B >\ /_A D C .

In Figure, A B||C F\ a n d\ B C||E D . Prove that /_A B C=\ /_F D E

In a triangle A B C ,/_A B C=/_A C B and the bisectors of /_A B C and /_A C B intersect at O such that /_B O C=120^0dot Show that /_A=/_B=/_C=60^0

The side B C of a A B C is produced on both sides. Show that the sum of the exterior angles so formed is greater than /_A by two right angles.

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