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 12 and hypotenuse 15. 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.