Triangle 82

Triangle PQR has vertices located at (2, 2), (5, -4), and (-4, -1). What type of triangle is triangle PQR?

Correct answer:

x = right isosceles

Step-by-step explanation:

P=(2,2) Q=(5,−4) R=(−4,−1)  r=dist(P,Q)=∣PQ∣=(Px​−Qx​)2+(Py​−Qy​)2​=(2−5)2+(2−(−4))2​=3 5​≐6.7082 q=dist(P,R)=∣PR∣=(Px​−Rx​)2+(Py​−Ry​)2​=(2−(−4))2+(2−(−1))2​=3 5​≐6.7082 p=dist(Q,R)=∣QR∣=(Qx​−Rx​)2+(Qy​−Ry​)2​=(5−(−4))2+((−4)−(−1))2​=3 10​≐9.4868  r=q p>r;p>q p2​=r2+q2​=6.70822+6.70822​=3 10​≐9.4868  P=90  ∘  x=rightisosceles

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