Pythagorean Theorem

Right-triangle methods for pythagorean theorem.

Lesson 1 of 53 parts Practice Flashcards

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Finding Hypotenuse

Objective: Apply finding hypotenuse.

For a right triangle with legs a,b and hypotenuse c, a²+b²=c².

Worked examples

Try itRight-triangle legs are 3 and 4. Find the hypotenuse.Show answer

5. Apply a²+b²=c² to the scaled Pythagorean triple.

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Objective: Apply finding hypotenuse.

For a right triangle with legs a,b and hypotenuse c, a²+b²=c².

Worked examples

Try itRight-triangle legs are 3 and 4. Find the hypotenuse.Show answer

5. Apply a²+b²=c² to the scaled Pythagorean triple.

Objective: Apply finding a leg.

Solve b=√(c²−a²) for a missing leg.

Worked examples

Try itA right triangle has hypotenuse 5 and one leg 3. Find the other leg.Show answer

4. √((5i)²−(3i)²)=4i.

Objective: Apply converse of pythagorean theorem.

If a²+b²=c² for three positive side lengths with c largest, the triangle is right.

Worked examples

Try itLengths 3, 4, and 5 form a triangle. How is it classified?Show answer

Right triangle. 3²+4²=5² remains true after scaling.

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