Mixed revision of Pythagoras' theory

Task goals

• Use Pythagoras' theorem to find a missing hypotenuse (long side) in a right-angled triangle when both legs (short sides) are known.
• Use the inverse form of Pythagoras' theorem to find a missing leg when the hypotenuse and one leg are known.
• Apply the converse of Pythagoras' theorem to test whether three given side lengths form a right-angled triangle.
• Solve real-world problems (rectangles, ladders, fields, paths, poles) by identifying the hidden right-angled triangle and applying the correct Pythagoras move.
• Select the appropriate move (find hypotenuse, find leg, or check for right angle) based on what the problem asks.