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Question

Use Pythagoras theorem to check which of following triplets would make a right triangle.

A
5,20,25
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B
7,24,25
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C
7,23,25
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D
15,20,25
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Solution

The correct options are
A 7,24,25
D 15,20,25
The pythagoras theorem is
a2=b2+c2
202+52=425 and 252=625
so 252202+52

now check for b
252=242+72
625=576+49
625=625
so,252=242+72

now check for c
252=232+72
625=529+49
625578

Now ckeck for d
252=202+152
625=400+225
625=625
so only option B and D is correct.

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