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Pythagoras Theorem

Which of the ...

Question

Which of the following can be the sides of a right angled triangle?

8, 17, 15

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7, 8, 9

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1, 3, 6

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8, 10, 5

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Solution

The correct option is A
8, 17, 15

We have 17² = 289 and 8² + 15² = 64 + 225 = 289

This give 17² = 8² + 15²

Therefore, 8, 17, 15 are the sides of a right angled triangle.

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Question 94

Solve the following question:

Can a right-angled triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.

$χ$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$
$f$	$4$	$6$	$8$	$12$	$17$	$11$	$7$	$6$	$5$	$3$

919829873987649876559876546987654

Re-arrange suitably and find the sum in each of the following :

(i) $\frac{11}{12} + \frac{- 17}{3} + \frac{11}{2} + \frac{- 25}{2}$

(ii) $\frac{- 6}{7} + \frac{- 5}{6} + \frac{- 4}{9} + \frac{- 15}{7}$

(iii) $\frac{3}{5} + \frac{7}{3} + \frac{9}{5} + \frac{- 13}{15} + \frac{- 7}{3}$

(iv) $\frac{4}{13} + \frac{- 5}{8} + \frac{- 8}{13} + \frac{9}{13}$

(v) $\frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5}$

(vi) $\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{7}{12} + \frac{9}{7} + \frac{- 5}{16}$

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