Practise the method.Example 1A right triangle has perpendicular legs 15cm and 36cm. Find its hypotenuse x, in cm.Right triangleRight triangleRight triangle, right angle at the lower left. Horizontal leg 15 cm; vertical leg 36 cm; hypotenuse x cm. Diagram not to scale. Use the labelled measurements.15 cm36 cmx cmDiagram not to scaleShow worked answerAnswer: 39Pythagoras: x2=152+362=1521.A length is positivex=39cm.Example 2A right triangle has hypotenuse 17cm and one leg 15cm. Find the other leg x, in cm.Right triangleRight triangleRight triangle, right angle at the lower left. Horizontal leg x cm; vertical leg 15 cm; hypotenuse 17 cm. Diagram not to scale. Use the labelled measurements.x cm15 cm17 cmDiagram not to scaleShow worked answerAnswer: 8Subtract the known leg square: x2=172−152=64x=8cm.Example 3A right triangle has perpendicular legs 16cm and 30cm. Find its perimeter, in cm.Right triangleRight triangleRight triangle, right angle at the lower left. Horizontal leg 16 cm; vertical leg 30 cm; hypotenuse x cm. Diagram not to scale. Use the labelled measurements.16 cm30 cmx cmDiagram not to scaleShow worked answerAnswer: 80The hypotenuse is √162+302=34cm.Add all three sides: 16+30+34=80cm.