Mathematics — first biennium · Lesson
In a right triangle, the square on the hypotenuse equals the sum of the squares on the legs.
Prerequisites: Right triangles and powers
Goal: Apply the Pythagorean theorem by correctly identifying hypotenuse and legs.
In this lesson: Apply the Pythagorean theorem by correctly identifying hypotenuse and legs.
New concept: In a right triangle, the hypotenuse is opposite the right angle and is the longest side; the other two sides are the legs. Pythagoras relates the squares of their lengths: c²=a²+b².
How to proceed: The hypotenuse is opposite the right angle and is the longest side; when finding a leg, subtract the other leg's square from the hypotenuse square.
You can already assume: Right triangles and powers.
Completed exercises: 0/5 · Correct on first attempt: 0
The hypotenuse is opposite the right angle and is the longest side; when finding a leg, subtract the other leg's square from the hypotenuse square.
Data / situation: Right triangle with one leg 6 and hypotenuse 10. Find the other leg.
ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.
Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.