Year 8 Pythagoras Theorem | Baamboozle - Baamboozle

What is the Pythagoras theorem

c2 = a2 + b2

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A 14 cm drinking straw just fits into a can as shown. The diameter of the can is 7 cm. Find the height of the can correct to two decimal places.

Square root of [c2 - a2 = 147] = 12.12 cm.

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Find the perimeter of this triangle, correct to two decimal places with units.

Hypotenuse = square root of [a2 + b2 = 13] = 3.61. Perimeter: 3.61 + 2 + 3 = 8.61 m

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banana

Go to last place!

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rocket

Go to first place!

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shark

Other team loses 15 points!

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baam

Lose 25 points!

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The hypotenuse is always opposite to the:

right angle.

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Explain why this working out to find the hypotenuse (c) is incorrect.

You must indicate in the last line that c = square root of 29. Otherwise, you've indicated the answer as the value of c2.

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This triangle is isosceles. Write Pythagoras’ theorem using the given pronumerals and simplify.

(Pythagoras = a2 + b2 = c2) a and b are represented by x, therefore, x2 + x2 = c2. Simplified = 2x squared = c2

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A rectangular wall is 5 m wide and 4 m high. Find the length of a diagonal brace correct to the nearest cm

[a2 + b2 = 25+ 16 = 41]. Estimated square root of 41 = 6.40 cm.

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heart

Other team wins 20 points!

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star

Double points!

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shark

Other team loses 25 points!

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banana

Go to last place!

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Find the length of the hypotenuse of these right-angled triangles, correct to two decimal places.

Square root of [a2 + b2 = 85] = 9.22

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Find the length of the unknown side in this right-angled triangle.

Square root of [c2 - a2 = 256] = 16.

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lifesaver

Give 20 points!

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magnet

Take 20 points!

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rocket

Go to first place!

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lifesaver

Give 15 points!

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Is [4, 5, 9] a Pythagorean triple? Show your working out with a clear answer

[a2 + b2 = 42 + 52 = 41] and [c2 = = 81]. 41 is not the same as 81, therefore, it is not a Pythagorean triple.

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Classify this triangle as right, obtuse, or acute angled triangle. Show working out to prove it.

[c2 = 100] is equal to [a2 + b2 = 100]. Therefore, it is a right angle triangle

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What is a Pythagorean triple? Represent the triad in letters.

Any 3 whole numbers that satisfy the Pythagoras theorem, indicated by [a, b, c]

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The Pythagoras theorem only applies to what type of triangle?

Right-angle triangle

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