nd is always [ ] the right angle.","back":"The hypotenuse is the longest side and is always opposite the right angle.","points":null},{"id":"6a9e25db-4df5-4d07-9165-764b26da2f63","cardType":"cloze","front":"In Pythagoras' theorem, the formula is $\\text{[...]}$, where $c$ represents the hypotenuse.","back":"In Pythagoras' theorem, the formula is $\\boxed{a^2 + b^2 = c^2}$, where $c$ represents the hypotenuse.","points":null},{"id":"987dac7d-7237-4fd7-92f2-5df6f6040a02","cardType":"cloze","front":"In Pythagoras' theorem, the formula is $a^2 + b^2 = c^2$, where $c$ represents the [ ].","back":"In Pythagoras' theorem, the formula is $a^2 + b^2 = c^2$, where $c$ represents the hypotenuse.","points":null},{"id":"c51ffe49-6ed4-4307-8a83-083d67b5d4d8","cardType":"basic","front":"How is the hypotenuse calculated if the two shorter sides are known?","back":"

Square both sides
Add the squares
Square root the result

","points":2},{"id":"73388255-1f56-412f-bde8-94fc06dce076","cardType":"basic","front":"How is a shorter side calculated if the hypotenuse and one other side are known?","back":"

Square both sides
Subtract the smaller square from the hypotenuse square
Square root the result

","points":2},{"id":"8583bbd1-6811-41e4-a2cf-2c92134891b9","cardType":"basic","front":"When solving for a missing side, why would you use subtraction instead of addition?","back":"Because the hypotenuse (longest side) is already known.","points":1},{"id":"5939f083-08ef-4a2b-b569-cb0080ee7076","cardType":"cloze","front":"To square a number like $x$, you [ ] ($x \\times x$).","back":"To square a number like $x$, you multiply it by itself ($x \\times x$).","points":null},{"id":"e4528445-e4e0-4d27-a104-27725ea00878","cardType":"basic","front":"In a rectangle, what does the diagonal represent in relation to Pythagoras' theorem?","back":"The hypotenuse of a right-angled triangle.","points":1},{"id":"f0d8d1f8-a6af-4b3e-9dfd-77c5fa77c2d5","cardType":"basic","front":"How do you create a right-angled triangle from an isosceles triangle to find its height?","back":"Draw a perpendicular height from the top, which bisects (halves) the base.","points":2},{"id":"1c40e77a-2f69-47fd-b073-d6fdcfa95751","cardType":"basic","front":"What is the general strategy for a trapezium problem using Pythagoras?","back":"Draw in a height line to create a right-angled triangle.","points":1},{"id":"0d6d4053-3232-46a3-a8ef-961b3898c0fb","cardType":"basic","front":"What is the first step when a question involves two joined right-angled triangles?","back":"Find the length of the shared side first.","points":1},{"id":"f92ce5b9-8eae-4eb8-b8f6-24a39538fbb3","cardType":"basic","front":"In worded problems, what angle is formed by a vertical wall and horizontal ground?","back":"90° (a right angle).","points":1},{"id":"81bb3b3b-8447-4fe8-b0d2-7b2a23d603a4","cardType":"basic","front":"A ladder leans against a wall. Which part of the triangle does the ladder represent?","back":"The hypotenuse.","points":1},{"id":"4b164813-b393-49a6-9e76-4c578d1eded5","cardType":"basic","front":"If a journey goes North then East, what is the geometric relationship between the two paths?","back":"They meet at a 90° angle.","points":1},{"id":"a8a10bcd-c614-407f-8468-dad48f57761e","cardType":"basic","front":"What must you check regarding units before starting a Pythagoras calculation?","back":"Ensure all side lengths are in the same units (e.g., all cm or all m

Pythagoras Flashcards

Pythagoras Flashcards

Pythagoras Flashcards

Pythagoras Flashcards