SOLUTION: given segment wx = segment yx segment wz = segment yz angle xwz = angle xyz angle xyz is a right angle prove triangle wxz = triangle yxz

SOLUTION: given segment wx = segment yx segment wz = segment yz angle xwz = angle xyz angle xyz is a right angle prove triangle wxz = triangle yxz

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Question 369950: given
segment wx = segment yx
segment wz = segment yz
angle xwz = angle xyz
angle xyz is a right angle
prove triangle wxz = triangle yxz
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Triangle xyz is a right triangle.
Using Pythagorean theorem,

Substituting,

So then Triangle xwz is also a right triangle.
Both right triangles have the same leg lengths and same hypotenuse.
They are congruent.

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