Pythagorean Theorem (Grade 12 NSC Matric Mathematics): Flashcards

📚Flashcards
Pythagorean Theorem
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

10 cards from this deck

Show

Pythagorean theorem formula

c2=a2+b2c^2 = a^2 + b^2 where cc is hypotenuse

Hypotenuse definition

Longest side opposite the right angle

Converse of Pythagorean theorem

If a2+b2=c2a^2 + b^2 = c^2, triangle has right angle opposite cc

Type of triangles for Pythagorean theorem

Right-angled triangles only

Altitude from right angle to hypotenuse creates

Similar triangles

Relation for AB2AB^2 when altitude ADperpBCAD perp BC

AB2=BDimesBCAB^2 = BD imes BC

Relation for AC2AC^2 when altitude ADperpBCAD perp BC

AC2=CBimesDCAC^2 = CB imes DC

MQ2MQ^2 where MQMQ is altitude to hypotenuse

MQ2=NQimesPQMQ^2 = NQ imes PQ

MP2MP^2 in terms of hypotenuse segments

MP2=QPimesNPMP^2 = QP imes NP

Key property of hypotenuse

Always longest side, opposite right angle

Explore Grade 12 NSC Matric Mathematics Revision Notes by Topics

Explore Grade 12 NSC Matric Mathematics Model Answers by Topics

Explore Grade 12 NSC Matric Mathematics Quizzes by Topics

Explore Grade 12 NSC Matric Mathematics Exam Questions by Topics

Join 100,000+ NSC Matric students studying Flashcards with us.

Select your subjects, and get access to A+ resources today.