Critique ReasoningShoshanna says that a triangle with side lengths 17 m, 8 m, and 15 m is not a right triangle because \(17^ 2 + 8 ^2 = {353, 15}^ 2 = 225\), and 353 ≠ 225. Is she correct? Explain
Make a Conjecture Diondre says that he can take any right triangle and make a new right triangle just by doubling the side lengths. Is Diondre’s conjecture true? Test his conjecture using three different right triangles.
Draw Conclusions A diagonal of a parallelogram measures 37 inches. The sides measure 35 inches and 1 foot. Is the parallelogram a rectangle? Explain your reasoning.
Represent Real-World Problems A soccer coach is marking the lines for a soccer field on a large recreation field. The dimensions of the field are to be 90 yards by 48 yards. Describe a procedure she could use to confirm that the sides of the field meet at right angles.