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Ksju [112]
3 years ago
9

Find the length of the third side. If necessary, write in simplest radical form. 10 5

Mathematics
1 answer:
Murljashka [212]3 years ago
4 0

Answer:

x= 5\sqrt{5}

Step-by-step explanation:

To solve this problem we first observe the Pythagoras equation. If a= 10 and b =5 are the lengths of the legs of a right triangle and c= x is the length of the hypotenuse, then t<u>he sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. </u>

This relationship is represented by the formula:

a^{2} + b^{2} = c^{2} =>10^2 +5 ^2 = x^2

=> 100 + 25 = x^2

=> \sqrt{125} = x => \sqrt{25} \sqrt{5} = x

=> x= 5\sqrt{5}

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