Right Triangle Theorem Mastery

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A rigorous Pythagorean challenge.

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Chris

Philippines

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Right Triangle Theorem Mastery


Froggy Jumps Right Triangle Theorem MasteryOnline version A rigorous Pythagorean challenge. by Chris 1 In a right triangle with legs 3 and 4, what is the hypotenuse? a 6 b 5 c 7 2 Which theorem states a^2 + b^2 = c^2 for a right triangle? a Law of Cosines b Pythagorean theorem c Euclid's lemma 3 True or False: If a^2 + b^2 = c^2, the triangle is right-angled. a True b Only if sides are integers c False 4 In a right triangle with sides 5 and 12, the hypotenuse is: a 17 b 10 c 13 5 What is the generalized form for any triangle to be right-angled? a a^2 + b^2 = c^2 b a^2 + b^2 + c^2 = 0 c a^2 + b^2 = 2c^2 6 Which proof technique is commonly used for Pythagoras? a Proof by exhaustion b Direct proof by contradiction c Algebraic proof by rearrangement 7 The converse of the Pythagorean theorem is: a If a^2 + b^2 > c^2, triangle is obtuse b If a^2 + b^2 = c^2, triangle is right-angled c If a^2 + b^2 < c^2, triangle is acute 8 Which triple is a primitive Pythagorean triple? a 6-8-10 b 3-4-5 c 9-12-15 9 In Euclidean geometry, the Pythagorean theorem applies to which shape? a Circles b Parallelograms c Right triangles 10 If legs are 7 and 24, hypotenuse is: a 31 b 26 c 25 11 Which extension relates to a^2 + b^2 = c^2 using cosine law? a c^2 = a^2 + b^2 - 2ab cos(C) b c^2 = a^2 + b^2 + 2ab cos(C) c c = a + b - cos(C) 12 Pythagoras' theorem can be used to prove which similarity? a Equilateral triangles b Right triangles with a shared altitude c Isosceles triangles 13 In a right triangle, c is: a Adjacent leg b Hypotenuse c Altitude 14 What property must two legs satisfy for a^2 + b^2 = c^2 to hold? a They are perpendicular b They are parallel c They are equal

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Right Triangle Theorem Mastery

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Right Triangle Theorem MasteryOnline version

by Chris

In a right triangle with legs 3 and 4, what is the hypotenuse?

Which theorem states a^2 + b^2 = c^2 for a right triangle?

True or False: If a^2 + b^2 = c^2, the triangle is right-angled.

In a right triangle with sides 5 and 12, the hypotenuse is:

What is the generalized form for any triangle to be right-angled?

Which proof technique is commonly used for Pythagoras?

The converse of the Pythagorean theorem is:

Which triple is a primitive Pythagorean triple?

In Euclidean geometry, the Pythagorean theorem applies to which shape?

If legs are 7 and 24, hypotenuse is:

Which extension relates to a^2 + b^2 = c^2 using cosine law?

Pythagoras' theorem can be used to prove which similarity?

In a right triangle, c is:

What property must two legs satisfy for a^2 + b^2 = c^2 to hold?