Math, asked by adityasinghyadav77, 11 months ago

solve question 9 plzzzzzzzzzzz​

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Answered by Lel
0
If AB=EF ,

And ∆FCB and ∆EBC share same base an lie between same parallels.

∆FCB≈∆EBC

By CPCT,

Angle FBC=Angle ECB.

Therefore,

∆ABC is isoceles. By Isoceles triangle property.



adityasinghyadav77: its wrong my dear
Lel: in maths my friend
Lel: in maths there are many ways to solve a question
Answered by IAMPK2
5
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GIVEN :-

BE is altitude,

So, Angle AEB = Angle CEB = 90°

CF is altitude,

So, Angle AFC = Angle BFC = 90°

Also, BE = CF

To Prove :-

∆ ABC is Isoceles

PROOF :-

In ∆ BCF and ∆ CBE

Angle BFC = Angle CBE = 90° [ Both angles are 90°]

BC = CB [ Common ]

FC = EB [ Given ]

∆ BCF ≈ ∆ CBE [ RHS Congruency Rule ]

Therefore,

Angle FBC = Angle ECB [ c.p.c.t.]

So, Angle ABC = Angle ACB

AB = AC [ Side Opposite to Equal Angles is Equal ]

So,

∆ ABC IS ISOCELES

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