The cards Question What is the hypotenuse of a right-angled triangle? Tap to flip Answer The side opposite the right angle; it is the longest side. Question What does Pythagoras' theorem state? Tap to flip Answer The sum of the squares of the two shorter sides of a right-angled triangle equals the square of the hypotenuse. Question With Pythagoras' theorem, how do you find a missing shorter side? Tap to flip Answer The square of the longest side minus the square of the known shorter side gives the square of the remaining side. Question Why might you leave an answer from Pythagoras' theorem with an operator instead of rounding it? Tap to flip Answer Rounding gives a less accurate answer. Question How can you show whether a triangle is right-angled from its three side lengths? Tap to flip Answer Substitute the three lengths into Pythagoras' theorem and see whether it gives a true statement. Question If substituting a triangle's side lengths into Pythagoras' theorem gives a false statement, what do you conclude? Tap to flip Answer The triangle is not right-angled. Question How can any line segment be turned into a right-angled triangle? Tap to flip Answer By adding two lines that meet at 90°. Question To find the length of a line segment on a coordinate grid, which two distances form the shorter sides of the right-angled triangle? Tap to flip Answer The horizontal distance and the vertical distance. Question Does direction matter when finding the distance between two points? Tap to flip Answer No. Direction matters for displacement, not distance. Question How are trigonometric functions commonly defined? Tap to flip Answer As ratios of two sides of a right-angled triangle for a given angle. Question In the unit circle, what is sin(θ°)? Tap to flip Answer The y-coordinate of point P on the triangle formed inside the unit circle. Question In the unit circle, what is cos(θ°)? Tap to flip Answer The x-coordinate of point P on the triangle formed inside the unit circle. Question In the unit circle, what is tan(θ°)? Tap to flip Answer The y-coordinate of point Q on the triangle that extends from the unit circle. Question How long is the hypotenuse of the right-angled triangle inside the unit circle? Tap to flip Answer One unit. Question How do the trigonometric ratios of similar triangles compare? Tap to flip Answer Similar triangles have the same trigonometric ratios. Question How do the interior angles of similar triangles compare? Tap to flip Answer They are the same. Question What is the opposite side of a right-angled triangle? Tap to flip Answer The side opposite the marked angle. Question Which two sides does the sine ratio involve? Tap to flip Answer The hypotenuse and the opposite side (together with the angle). Question What is the adjacent side of a right-angled triangle? Tap to flip Answer The side next to both the right angle and the marked angle. Question Which two sides does the cosine ratio involve? Tap to flip Answer The hypotenuse and the adjacent side (together with the angle). Question Which function lets you find the angle itself from a cosine ratio? Tap to flip Answer The arccosine function. Question Can the cosine formula be used to find the hypotenuse when the adjacent side is known? Tap to flip Answer Yes, by rearranging the formula. Question Which two sides does the tangent ratio involve? Tap to flip Answer The opposite side and the adjacent side (together with the angle). Question What decides which side is the opposite and which is the adjacent? Tap to flip Answer The known angle; the orientation of the triangle does not matter. Question Which shape is used to calculate the trigonometric ratios for 30° and 60°? Tap to flip Answer An equilateral triangle with sides of 2 units, split into two right-angled triangles. Question Which shape is used to calculate the trigonometric ratios for 45°? Tap to flip Answer A square with sides of 1 unit, split into two right-angled triangles. Question How are the trigonometric ratios for 0° and 90° found? Tap to flip Answer They can be reasoned. Question Does trigonometry always involve rounding? Tap to flip Answer No. Question Give one use of trigonometric ratios. Tap to flip Answer e.g. calculating the height of a structure. Where this deck sits in the curriculum Curriculum National Curriculum for England Stage GCSE (Years 10–11) Course GCSE Maths Unit Right-angled trigonometry Tiers foundation and higher England's National Curriculum sets what is taught; the units and their order are Oak National Academy's. Flash Feed is not affiliated with Oak or any exam board.
How this deck was checked On 2026-11-02, every card was compared with its source: the lessons of Oak National Academy, a public body funded by England's Department for Education that publishes lessons for the national curriculum. Because the cards come from those lessons, no second source was sought. The comparison was done automatically, not by a teacher, so a card can still be wrong. Flash Feed is not affiliated with any source named here.
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A Maths lesson by Oak National Academy licensed under Open Government Licence (OGL)