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madam [21]
3 years ago
9

Find the third side in simplest radical form

Mathematics
1 answer:
klasskru [66]3 years ago
3 0

Answer:

2 \sqrt{71}  \: units

Step-by-step explanation:

Given is a right angled triangle in which third side is the hypotenuse.

Therefore, by Pythagoras theorem:

thid \: side =  \sqrt{ {15}^{2}  + ( \sqrt{59} )^{2} }  \\  \\  =  \sqrt{225 + 59}  \\  \\  =  \sqrt{284}  \\  \\  =  \sqrt{ {2}^{2} \times 71 }  \\  \\  = 2 \sqrt{71}  \: units

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Correct question

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We know that,

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Given that

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Then,

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