Constructing a right-angled triangle given the length of the hypotenuse and one other side length
I can construct a right-angled triangle given the length of the hypotenuse and one other side length.
Constructing a right-angled triangle given the length of the hypotenuse and one other side length
I can construct a right-angled triangle given the length of the hypotenuse and one other side length.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- The shorter side can be drawn accurately with a ruler
- The perpendicular through the end point of the drawn side should be constructed
- The compass should be used to indicate potential positions for the hypotenuse
- All triangles with the same measurements are congruent
Keywords
Pair of compasses - A pair of compasses is a tool which can be used to draw circles and arcs. A pair of compasses is sometimes referred to just as a compass.
Congruent - If one shape can fit exactly on top of another using rotation, reflection or translation, then the shapes are congruent.
Common misconception
Pupils may want to use a protractor to draw a right angle.
Remind pupils that they need to construct the right angle with a pair of compasses and a ruler, using appropriate construction techniques.
To help you plan your year 11 maths lesson on: Constructing a right-angled triangle given the length of the hypotenuse and one other side length, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Constructing a right-angled triangle given the length of the hypotenuse and one other side length, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Loci and construction unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Equipment
Pair of compasses, ruler
Licence
Lesson video
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Starter quiz
6 Questions
Use a ruler to draw side AB of 6 cm.
Use a protractor to measure 37° from A and mark a faint point.
Repeat the last step with point B and an angle of 40°.
Draw a ray line to show direction of side AC.
Draw a second ray line to show direction of side BC.
Label point C at the point where the two rays meet.
Exit quiz
6 Questions
