Year 8 Pythagoras Theorem | Baamboozle - Baamboozle

The hypotenuse is always opposite to the:

right angle.

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

Square root of [a2 + b2 = 32] = 5.66

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Is [10, 12, 20] a Pythagorean triple? Show your working out with a clear answer

[a2 + b2 = 100 + 144 = 244] and [c2 = 400]. 244 is not the same as 400, therefore, it is not a Pythagorean triple.

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Win 25 points!

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Other team loses 10 points!

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monster

Reset all scores!

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A 7 m ladder is placed 3 m from the base of a wall as shown. Find the height of the wall correct to two decimal places.

Square root of [c2 - a2 = 40] = 6.32 m.

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

[c2 = 64] is less than [a2 + b2 = 85]. Therefore, it is an acute angle triangle

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

[c2 = 64] is greater than [a2 + b2 = 52]. Therefore, it is an obtuse angle trignale

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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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The Pythagoras theorem only applies to what type of triangle?

Right-angle triangle

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Go to last place!

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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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What is a surd and give me one example.

A number that cannot be expressed as a rational number. It has infinite decimal places. Example: square root of 2

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