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CAN YOU PLEASE HELP ME?

find the unknown side length

*CAN YOU PLEASE SHOW YOUR WORK*?​

CAN YOU PLEASE HELP ME? find the unknown side length *CAN YOU PLEASE SHOW YOUR WORK-example-1

1 Answer

5 votes

Answer:

5 sqrt(3)

Explanation:

We can use the Pythagorean theorem to find the unknown side

a^2 +b^2 = c^2

11^2 + x^2 = 14^2

121 + x^2 = 196

Subtract 121 from each side

121-121 +x^2 = 196-121

x^2 =75

Take the square root of each side

sqrt(x^2) = sqrt(75)

x = sqrt(25*3)

= sqrt(25) sqrt(3)

=5sqrt(3)

User Victoria Klimova
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