We are given a? + b2 = c2 for ABC and right
ADEF constructed with legs a and b and hypotenuse
n. Since ADEF is a right triangle, we know
that a² + b2 = n2 because of the
V. By substitution, c? = n2 Using
the square root property and the principle root, we can
take the square root of both sides to get
c=n. By
M. triangles
ABC and DEF are congruent. Since it is given that
F is a right angle, then 2 is also a right angle by
CPCTC. Therefore, ABC is a right triangle by