Mid-Chapter Quiz
Sign In
Use the Pythagorean Theorem.
x=10, y=10sqrt(2)
In the formula, a and b are the legs and c is the hypotenuse of a right triangle. We are given a triangle with a=10, b=x, and c=y. Notice that, the legs of our triangle are congruent. Therefore, we immediately have that x=10.
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