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Help please!!!

Find the value of x. If necessary, write your answer in simplest radical form.
24
20

Help please!!! Find the value of x. If necessary, write your answer in simplest radical-example-1

1 Answer

2 votes

Answer:


4 √(11)

Explanation:

According to Pythagoras Theorem,


{(hypotenuse)}^(2) - {height}^(2) = {(base)}^(2)


= > {24}^(2) - {20}^(2) = {x}^(2)


= > \: {x}^(2) = 576 - 400


= > {x}^(2) = 176


= > x = √(176)


= > x = √(2 * 2 * 2 * 2 * 11)


= > x = 2 * 2 √(11)


= > x = 4 √(11) (ans)

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