Which of the following is not a pythogorean triplet-5- 12- 13-3- 4- 5-7- 24- 25-8- 20- 25-

The correct option is D (8, 20, 25) Pythagorean triplets nbsp;form the three sides of a right angled triangle. According to the Pythagoras theorem, a^2+b^2 ...

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Standard VII

Mathematics

Pythagoras Triplets

Which of the ...

Question

Which of the following is not a pythogorean triplet?

(3, 4, 5)

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(7, 24, 25)

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(5, 12, 13)

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(8, 20, 25)

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Solution

The correct option is D
(8, 20, 25)

Pythagorean triplets form the three sides of a right-angled triangle.

According to the Pythagoras theorem,

$a^{2} + b^{2} = c^{2}$

Here,

$3^{2} + 4^{2} = 5^{2} 7^{2} + 24^{2} = 25^{2} 5^{2} + 12^{2} = 13^{2} 8^{2} + 20^{2} \neq 25^{2}$

$∴$ (8, 20, 25) is not a pythagorean triplet.

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Similar questions

Find each of the following products :

(i) $\frac{3}{5} \times \frac{- 7}{8}$ (ii) $\frac{- 9}{2} \times \frac{5}{4}$ (iii) $\frac{- 6}{11} \times \frac{- 5}{3}$

(iv) $\frac{- 2}{3} \times \frac{6}{7}$ (v) $\frac{- 12}{5} \times \frac{10}{- 3}$ (vi) $\frac{25}{- 9} \times \frac{3}{- 10}$

(vii) $\frac{5}{- 18} \times \frac{- 9}{20}$ (viii) $\frac{- 13}{15} \times \frac{- 25}{26}$ (ix) $\frac{16}{- 21} \times \frac{14}{5}$

(x) $\frac{- 7}{6} \times 24$ (xi) $\frac{7}{24} \times (- 48)$ (xii) $\frac{- 13}{5} \times (- 10)$

Q. Which ratio is larger in the following pairs?
(i) 3 : 4 or 9 : 16
(ii) 15 : 16 or 24 : 25
(iii) 4 : 7 or 5 : 8
(iv) 9 : 20 or 8 : 13
(v) 1 : 2 or 13 : 27

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

Q. In which of the following tables x and y vary inversely:
(i)

x	4	3	12	1
y	6	8	2	24

(ii)

x	5	20	10	4
y	20	5	10	25

(iii)

x	4	3	6	1
y	9	12	8	36

(iv)

x	9	24	15	3
y	8	3	4	25

Evaluate each of the following: $(i) \frac{2}{3} - \frac{3}{5} (i i) \frac{- 4}{7} - \frac{2}{- 3} (i i i) \frac{4}{7} - \frac{- 5}{- 7} (i v) - 2 - \frac{5}{9} (v) \frac{- 3}{- 8} - \frac{- 2}{7} (v i) \frac{- 4}{13} - \frac{- 5}{26} (v i i) \frac{- 5}{14} - \frac{- 2}{7} (v i i i) \frac{13}{15} - \frac{12}{25} (i x) \frac{- 6}{13} - \frac{- 7}{13} (x) \frac{7}{24} - \frac{19}{36} (x i) \frac{5}{63} - \frac{- 8}{21}$

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Which of the following is not a pythogorean triplet?

The correct option is D (8, 20, 25) Pythagorean triplets form the three sides of a right-angled triangle. According to the Pythagoras theorem, a2+b2 = c2 Here, 32+42=5272+242=25252+122=13282+202≠252 ∴ (8, 20, 25) is not a pythagorean triplet.