Year 8 Pythagoras Theorem | Baamboozle - Baamboozle

An obtuse angle is:

any angle greater than 90 degrees but smaller than 180 degrees

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.

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

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

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.

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

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

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

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

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

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.

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.

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.

The hypotenuse is always opposite to the:

right angle.

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

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

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

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

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

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.

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 Pythagoras theorem only applies to what type of triangle?

Right-angle triangle

What is the Pythagoras theorem

c2 = a2 + b2