triangle PQR with PQ = 6cm, PR = 8cm and m Angle P = 90. a. what kind of triangle is PQR, How do you know B. how else can you classify the triangle? justify.
Answer (1)
Answer:Step-by-step explanation:Step 1: Identify the type of angleYou're told that ∠=90∘ which means:Triangle PQR has a right angle.A triangle with one right angle is called a right triangle.So, triangle PQR is a right triangle.Step 2: Use the Pythagorean Theorem to find side QRIn a right triangle:(Hypotenuse)2=(Leg 1)2+(Leg 2)2Here, legs = =6cm and =8cmSo, QR2= PQ 2+PR 2 2=62+82=36+64=100= √100 = 10cmNow we know all side lengths:PQ=6cmPR=8cmQR=10cmStep 3: Check if any sides are equalCompare:≠≠≠Since no sides are equal, triangle PQR is a scalene triangle.Final Answers:a. What kind of triangle is PQR?Triangle PQR is a right triangle because it has a 90° angle at point P.b. How else can you classify the triangle?Triangle PQR is also a scalene triangle because all three sides have different lengths (6 cm, 8 cm, and 10 cm).
