Pythagorean Theorem (Grade 12 NSC Matric Mathematics): Quizzes

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Pythagorean Theorem
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For a right triangle with legs aa and bb and hypotenuse cc, what is the Pythagorean theorem?

c2=a2+b2c^2 = a^2 + b^2

What is the hypotenuse in a right-angled triangle?

Longest side opposite the right angle

When does the Pythagorean theorem apply?

Only to right-angled triangles

What does the converse of the Pythagorean theorem state?

If a2+b2=c2a^2 + b^2 = c^2, triangle is right

In the proof, what is constructed from the right angle to establish similar triangles?

Altitude perpendicular to hypotenuse

In the proof with ∠A=90°\angle A = 90° and AD⊥BCAD \perp BC, which triangles are similar?

△ABD∼△CBA∼△CAD\triangle ABD \sim \triangle CBA \sim \triangle CAD

When altitude MQ is drawn to hypotenuse NP in right triangle MNP, what equals MQ2MQ^2?

NQ×PQNQ \times PQ

In the example, if PQ=7PQ = 7 cm and QT=35QT = 3\sqrt{5} cm, what is PT?

22 cm

In the example with QT2=TR×PTQT^2 = TR \times PT and (35)2=TR×2(3\sqrt{5})^2 = TR \times 2, what is TR?

22.522.5 cm

What is crucial to identify before applying the Pythagorean theorem?

Which side is the hypotenuse

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