CAN YOU PLEASE HELP ME?
find the unknown side length
*CAN YOU PLEASE SHOW YOUR WORK*?
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Answer:
5 sqrt(3)
Step-by-step 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)