Mid-Chapter Quiz
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Use the Pythagorean Theorem.
x=10, y=10sqrt(2)
To find the missing side of the triangle, we will use the Pythagorean Theorem.
a^2+b^2=c^2
Let's substitute these values into the formula and solve for y.
Substitute values
a+a=2a
sqrt(LHS)=sqrt(RHS)
Rearrange equation
sqrt(a* b)=sqrt(a)*sqrt(b)
sqrt(a^2)=a
Commutative Property of Multiplication
Since a negative side length does not make sense, we only need to consider positive solutions.