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If two sides of a triangle are unequal, ...

If two sides of a triangle are unequal, the longer side has greater angle opposite to it. GIVEN : A ` A B C` in which `A C > A Bdot` TO PROVE : `/_A B C >/_A C B` CONSTRUCTION : Mark a point `D` on `A C` such that `A B=A Ddot` Joint `B Ddot`

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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. In a triangle the greater angle has the longer side opposite to it.

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  2. If the bisectors of the base angles of a triangle enclose an angle ...

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  3. If two sides of a triangle are unequal, the longer side has greater...

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  4. The bisectors of base angles of a triangle cannot enclose a right a...

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  5. ABCD is a square, X and Y are points on sides AD a...

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  6. In figure, if P Q|P S ,P Q|| S R ,/S Q R=28^0 and /Q R T=65^0, then fi...

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  7. If perpendiculars from any point with an angle on its arms are cong...

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  8. In figure, if lines P Q and R S intersect at a point T such that P R T...

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  9. A B C is a triangle is which B E and C F are, respectively, the perpen...

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  10. Sides B C ,C A and BA of a triangle A B C are produced to D ,Q ,P resp...

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  11. A B C is a triangle and D is the mid-point of B C . The perpendiculars...

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  12. The side B C of a triangleA B C is produced on both sides. Show that t...

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

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

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

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  16. 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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  17. Of all the line segments that can be drawn to a given line, from a ...

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

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

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

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