In the diagram below, BC = QR = x, AC = PR y, and triangle PQR is a right triangle. Use the drop-down menus to complete the proof that if the equation
2? + y = z2 is true of the side lengths in triangle ABC, then triangle ABC must be a right
triangle.
P
X
B
x2 + y2 = 22
Triangle PQR is a right triangle
Click the arrows to choose an answer from each menu.
Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to
determine that choose...
It is given that x2 + y2 = z2 in triangle ABC, so
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This information shows that the triangles are congruent
because their three sides are congruent. Therefore, to show that triangle PQR is a right triangle,
we can use corresponding parts of the congruent triangles to show that Choose..
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