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Theorem 7.6 : If two sides of a triangle...

Theorem 7.6 : If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater)

A

greater

B

less

C

equal

D

half

Text Solution

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The correct Answer is:
A
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If two angles of a triangle are equal;then sides opposite to them are also equal.

If two sides of a triangle are unequal; the longer side has greater angle opposite to it.

In a triangle the angle opposite the largest side is the largest.

In a triangle the greater angle has the longer side opposite to it.

Fill in the blanks to make the following statements true: In a right triangle the hypotenuse is the ...... side. The sum of three altitudes of a triangle is ......... than its perimeter. The sum of any two sides of a triangle is ......... than the third side. If two angles of a triangle are unequal, then the smaller angle has the ........... side opposite to it. Difference of any two sides of a triangle is ......... than the third side. If two sides of a triangle are unequal, then the larger side has ..... angle opposite to it.

Which of the following statements are true (T) and which are false (F)? Sum of the three sides of a triangle is less than the sum of its three altitudes. Sum of any two sides of a triangle is greater than twice the median drawn to the third side. Sum of any two sides of a triangle is greater than the third side. Difference of any two sides of a triangle is equal to the third side. If two angles of a triangle are unequal, then the greater angle has the larger side opposite to it. Of all the line segments that can be drawn from a point to a line not containing it, the perpendicular line segment is the shortest one.

If two angles of a triangle are unequal , then the smaller angle has the ________ side opposite to it .

Theorem 7.8 : The sum of any two sides of a triangle is greater than the third side.

MTG IIT JEE FOUNDATION-TRIANGLES-EXERCISE (Multiple Choice Questions) (LEVEL-1 )
  1. In a DeltaABC, AB=5 cm, AC=5 cm and angleA=50^(@), then angleB=

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  2. Theorem 7.6 : If two sides of a triangle are unequal, the angle opposi...

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  3. In triangle PQ=QR, angle QPR=48^(@), angleSRP=18^(@) then anglePQR=

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  4. In the given figure, PQR is an equilateral triangle and QRST is a squa...

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  5. Can we drawn a triangle, ABC with AB=3 cm, BC= 3.5 cm and Ca=65 cm ?

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  6. Which of the following is not a criterion for congruence of triangles ...

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  7. In the given figure AB bot BE and EF bot BE. Also BC=DE and AB= EF. Th...

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  8. In quadrilateral ABCD, BM and DN are drawn perpendicular to AC such th...

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  9. In the figure, ABC is an isosceles triangle in which AB = AC and LM is...

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  10. In the given figure, PS is the median, bisecting angle P, then angleQP...

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  11. In the given figure, x and y are

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  12. For the given triangles, write the correspondence, if they are congrue...

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  13. In DeltaABC, if angleB lt angleA then

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  14. In DeltaABC, if AB=AC and BD=DC (see figure), then angleADC=

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  15. Which of the following is a correct statement?

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  16. D is a point on the side BC of a DeltaABC such that AD bisects angle B...

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  17. In figure, angleB lt angleA and angle C lt angleD then

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  18. Which of the following is a correct statement?

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  19. In Delta ABC and Delta PQR , If AB=AC, angleC=angleP " and " angleB=a...

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  20. In A B C , side A B is produced to D so that B D=B Cdot If /B=60^0\ a...

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