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A B C is a triangle is which B E and C F...

`A B C` is a triangle is which `B E` and `C F` are, respectively, the perpendiculars to the sides `A C` and `A B` . If `B E=C F` , prove that ` A B C` is isosceles.

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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
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  2. In figure, if lines P Q and R S intersect at a point T such that P R T...

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  7. P is a point equidistant from two lines l and m intersecting at a poin...

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  8. If two parallel lines are intersected by a transversal, prove that ...

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  9. If A B C is an isosceles triangle such that A B=A C and A D is an alti...

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  10. If PS is the bisector of /Q P R and P T|Q R . Show that /T P S=1/2(/Q...

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  12. A triangle A B C is right angled at A. AL is drawn perpendicular to B...

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  13. The sum of any two sides of a triangle is greater than the third sid...

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  14. In Figure AB||DC , if x=(4y)/3 and y=(3z)/8, find /B C D ,/A B C and /...

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  15. A B is a line segment and line l is its perpendicular bisector. If ...

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  18. If one angle of a triangle is equal to the sum of the other two, sh...

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  19. Suppose line segments A B and C D intersect at O in such a way that A ...

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