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Sides of triangles are given below. Det...

Sides of triangles are given below. Determine which of them are right triangles . In case of a right triangle, write the length of its hypotenuse.
(i) 7 cm, 24 cm, 25 cm 
(ii)  3 cm, 8 cm, 6 cm
(iii) 50 cm, 80 cm, 100 cm
(iv) 13 cm, 12 cm, 5 cm

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To determine which of the given triangles are right triangles, we will use the Pythagorean theorem. According to this theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. Let's analyze each set of triangle sides one by one. ### Given Sides: 1. **(i) 7 cm, 24 cm, 25 cm** 2. **(ii) 3 cm, 8 cm, 6 cm** 3. **(iii) 50 cm, 80 cm, 100 cm** ...
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NCERT ENGLISH-TRIANGLES-Exercise 6.5
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  5. A guy attached wire to a vertical pole of height 18m is 24 m long an...

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  7. The perpendicular from A on side BC of a ABC intersects BC at D such t...

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  8. ABC is an isosceles right triangle, right-angled at C . Prove that:...

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  9. Two poles of heights 6 m and 11m stand on a plane ground. If the dist...

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  10. A ladder 10m long reaches a window 8 m above the ground. Find the dis...

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  11. In an equilateral triangle ABC, D is a point on side BC such that B D=...

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  12. In figure, O is a point in the interior of a triangle ABC, O D|B C ,O...

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  13. In an equilateral triangle, prove that three times the square of one ...

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  14. An aeroplane leaves an airport and flies due north at a speed of 1000...

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  15. Sides of triangles are given below. Determine which of them are right...

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  16. ABC is an equilateral triangle of side 2a. Find each of its altitud...

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