Year 8 Pythagoras Theorem | Baamboozle - Baamboozle

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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

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

You cannot add 3 and 4 together like that. You must square them separately, add them together, and then square root the sum to find c.

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

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.

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.

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

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

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

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.

The Pythagoras theorem only applies to what type of triangle?

Right-angle triangle

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

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

Is [8, 15, 17] a Pythagorean triple? Show your working out with a clear answer

[a2 + b2 = 64 + 225 = 289] and [c2 = 289]. 289 is the same as 289, therefore, it is a Pythagorean triple.

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.

The hypotenuse is always opposite to the:

right angle.

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

An obtuse angle is:

any angle greater than 90 degrees but smaller than 180 degrees

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

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

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

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

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

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

Hypotenuse = square root of [a2 + b2 = 424] = 20.59. Perimeter: 20.59+10+18 = 48.59 cm

What is the Pythagoras theorem

c2 = a2 + b2

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

[c2 = 36] is greater than [a2 + b2 = 34]. Therefore, it is an obtuse angle triangle

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.

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.

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