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

Mathematics

1 answer:

Murljashka [212]2 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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