The Pythagorean TheoremThe relationship that only works in right triangles — and its…8th GradeIn a right-angled triangle, the square on thehypotenuse equals the sum of the squares onthe other two sides.a² + b² = c²a=3, b=4c = 59 + 16 = 25, and √25 = 5.a=5, c=13b = 12Finding a leg: b² = 169 − 25.Is 6,8,10 right-angled?yes36 + 64 = 100. The converse works as a test.Triples worth knowing3-4-5, 5-12-13, 8-15-17And any multiple of them.THE COMMON MISTAKE✗ 3 + 4 = 5, so a + b = c✓ a² + b² = c²It is a coincidence that 3-4-5 also adds up. Try 5-12-13 and it fails.Only for right triangles. If there is no right angle, this theoremdoes not apply.The Pythagorean Theoremwww.littleactivity.com

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Math · 8th Grade

The Pythagorean Theorem

The relationship that only works in right triangles — and its converse.

How to use it

Label the hypotenuse first, every time. It is always opposite the right angle.

Free · print-ready PDF · US Letter and A4

Grade
8th Grade
Ages
13–14
Subject
Math
Pages
1

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