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Fill in the blanks: In a right triangle,...

Fill in the blanks:
In a right triangle,the square of the hypotenuse is equal to the ……of the squares of the other two sides.
If the square of the one side of a triangle is equal to the sum of the square of the other two sides then the triangle is……….
Of all the lines segments that can be drawn to a given line from a given point outside it.the …..is the shortest.

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Theorem 6.8 : In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Prove that is a right angle triangle, the square of the hypotenuse is equal the sum of the squares of other two sides.

STATEMENT In a right triangle the square of the hypotenuse equals the sum of the squares of its remaining two sides.

Three xx the sum of square of the sides of a triangle is equal to four xx the sum of the square of the medians of the triangle.

PYTHAGORAS THEOREM : In a Right angled triangle; the square of hypotenuse is equal to the sum of the squares of the other two sides.

Prove that, in a right-angled triangle, the square of hypotenuse is equal to the sum of the square of remaining two sides.

Prove that three xx the sum of the squares of the sides of a triangle is equal to fourxx the sum of the squares of the medians of the triangle.

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If the square of one side of a triangle is equal to the sum of the squares of the other two sides then the triangle is a right triangle with the angle opposite the first sides as right angle.

RS AGGARWAL-PROPERTIES OF TRIANGLES-EXERCISE 15-D
  1. Find the length of the hypotenuse of a rigt triangle,the other two sid...

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  2. The ypotenuse of a right trianle is 26cm long. If one of the remaining...

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  3. The length of one side of a right triangle 4.5 cm and the length of it...

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  4. The two legs of a right triangle are equal and the square of its hypot...

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  5. The sides of a triangle measure 15 cm ,36cm and 39cmShow that it is a ...

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  6. In right triangleABC the lengths of its legs are given as a=6cm and b=...

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  7. The length of the sides of some triangles aregiven below .Which of the...

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  8. In a triangle ABC,angleB=35^(@) and angleC=55^(@).Write of the followi...

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  9. A 15-m long ladder is placed against a wall to reach a window 12 m hig...

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  10. A 5-m long ladder when set against the wall of a house reaches a heigh...

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  11. एक पेड़ भूमि से 5m की ऊंचाई पर टूट जाता है और उसका ऊपरी सूरा भूमि को उस...

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  12. Two poles 18m and 13 m high stand upright in a playground If their fee...

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  13. A man goes 35m due west and then 12 m due north. How far is he from th...

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  14. A man goes 3 km due north and then 4 km due east.How far is away from ...

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  15. Find the length of diaonal of the rectangle whose sides are 16 cm and ...

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  16. Find the perimeer of the rectangle whose length is 40 cm and diagonal ...

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  17. Find the perimeter of a rhombus ,the lengths of whose diagonal are 16c...

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  18. Fill in the blanks: In a right triangle,the square of the hypotenuse i...

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