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.
Equipment
Pair of compasses, ruler
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
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
