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Which of the following statements are true (T) and which are false (F): Side opposite to equal angles of a triangle may be unequal. Angle opposite to equal sides of a triangle are equal. The measure of each angle of an equilateral triangle is `60^0` If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles. The bisectors of two equal angles of a triangle are equal. If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles. The two altitudes corresponding to two equal sides of a triangle need not be equal. If any two sides of a right triangle are respectively equal to two sides of other right triangle, then the two triangles are congruent. Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal to the hypotenuse and a side of the other triangle.

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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
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  2. A B C D is a square, X\ a n d\ Y are points on sides A D\ a n d\ B C r...

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  3. Which of the following statements are true (T) and which are false ...

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  4. Fill in the blanks in the following so that each of the following st...

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  5. In a A B C ,\ if /A=45^0\ a n d\ /B=70^0dot Determine the shortest ...

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  6. In a A B C , if /A=50^0\ a n d\ /B=60^0 , determine the shortest a...

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  7. In Figure, P Q > P R. Q S\ a n d\ R S are the bisectors of / Q and /R ...

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  8. In Figure, sides L M\ a n d\ L N OF /\ LMN are extended to P\ a n d\ Q...

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  9. In Figure, P Q=P Rdot Show that P S > P Q

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  10. In Figure, A B > A C. Show that A B > A D.

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  11. If D is any point on the base B C produced, of an isosceles tria...

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  12. In Figure, if A D is the bisector of L A , show that: A B > B D (ii) ...

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  13. Show that in a right angled triangle, the hypotenuse is the longest...

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  14. In Figure, A C > A B and A D is the bisector of / A . Show that A D C ...

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  15. Show that the sum of the three altitudes of a triangle is less than...

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  16. Prove that any two sides of a triangle are together greater than tw...

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  17. Prove that the perimeter of a triangle is greater than the sum of it...

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  18. Show that the difference of any two sides of a triangle is less than...

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  19. In Figure, P Q R is a triangle and S is any point in its interior, s...

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  20. In P Q R , S is any point on the side Q R . Show that P Q+Q R+R P ...

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