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A point O lies inside a DeltaABC. Show t...

A point O lies inside a `DeltaABC`. Show that `OA+OB+OC gt (1)/(2)(AB+BC+CA)`.

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The point O is outside the angleABC . Show that 2(OA+OB+OC) gt AB+BC+CA .

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ICSE-THE TRIANGLE AND ITS PROPERTIES-TRY THIS
  1. Find the value of x in the figure.

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  2. One exterior angle of a triangle is 70^(@). The two opposite interior ...

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  3. In the given figure, find x and y.

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  4. Find the third angle of a triangle, two of whose angles are 65^(@) and...

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  5. One angle of a triangle is thrice the smallest angle and the other ang...

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  6. In DeltaABC,angleB=90^(@) and AE and CF are the angle bisector (line s...

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  7. Find angleA+angleB+angleC+angleD

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  8. Find the values of x,y, and z in the following figure.

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  9. Find the length of AB in each of the following

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  10. Find the value of x in each of the following triangles.

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  11. Find the values of x and y.

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  12. If one of the base angles of an isosceles triangle measures 30^(@), fi...

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  13. Can the lengths 5 cm, 9 cm, andd 13 cm be the dimensions of a triangle...

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  14. Two sides of an isosceles triangle are 4 cm and 7. what is the possibl...

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  15. A point O lies inside a DeltaABC. Show that OA+OB+OC gt (1)/(2)(AB+BC+...

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  16. Find the value of x in each of the following figures.

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  17. A ladder is placed with one edge on the wall 15 feet above the ground ...

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  18. Find the perimeter of a rhombus whose diagonals are 30 cm and 34 cm.

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  19. Can the lengths 30 cm, 32 cm, and 16 cm be the dimensions of a right-a...

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  20. Three numbers a,b, and c form a Phythagorean triplet. If a=29, b=21, f...

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