In triangle abc ,BE and CF are medians show the EF parellel to CB
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Step-by-step explanation:
E and F are mid point of side AC and AB respecitively
so by mid point therom we can say that line EF is pareller to side BC and
half of it.
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Ques
BE and CF are two equal altitude of a triangle ABC. using RHS congruent rule, prove that the triangle ABC is isosceles?
sol-
given BE is a altitude
so, angle AEB =angle CEB=90°
ALSO, CF is a altitude
angle AFC = angle BFC =90°
triangle ABC is isosceles
In triangle BCF and triangle CBE
angle BEC =angle CEB =90°
BC=CB
FC=EB
triangle BCF similar triangle CBE
Therefore, angle FBC=angle ECB
Angle ABC = Angle ACB
AB=AC
so, triangle ABC is an isosceles triangle
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