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Topic: Pythagoras’ theorem
b > a!
𝑐2 = 4 ×
+ (𝑏 − 𝑎)2
= 4 ×
+ (𝑏 − 𝑎)2
𝑐2 = 2𝑎𝑏 + (𝑏 − 𝑎)2
(𝑏 − 𝑎)2
− 2𝑎𝑏 + 𝑎2
= 2𝑎𝑏 + (𝑏2
−2𝑎𝑏 + 𝑎2
𝑐2 = 2𝑎𝑏 + (𝑏2−2𝑎𝑏 + 𝑎2)
𝒄 𝟐 = 𝒂 𝟐 + 𝒃 𝟐
the longest side of right triangle that has one angle of 90°
EG. The longest side of the triangle is called the
a flat shape with three straight sides
EG. Pythagoras discovered an amazing fact about
Over 2000 years ago Pythagoras discovered an amazing fact
“When the triangle has a right angle (90°) and squares are
made on each of the three sides, then the biggest square has the exact
same area as the other two squares put together.”
It is called "Pythagoras' Theorem" and can be written in one
a2 + b2 = c2
The longest side of the triangle is called the "hypotenuse",
so the formal definition is
If we know the lengths of two sides of a right angled
triangle, we can find the length of the third side. (But
remember it only works on right angled triangles!)
In a right triangle:
the square of the hypotenuse is equal to the sum of the squares of
the other two sides.
Present simple tense
We use simple present to talk about something that is
true in the present or something that is always true.
= equals or equal to
+ plus or positive
- minus, subtract by or
x or . multiplies or times
÷ or / divided by
x2 x squared or x to the power
x square root of x
True or False
Direction: Write "T" if the statement is true or
"F" if the statement is false. Then rewrite to
correct the information if the statement is false.
1. Pythagoras' equation can be written in
𝒂 𝟐 + 𝒃 𝟐 = 𝒄 𝟑.
𝒂 𝟐 + 𝒃 𝟐 = 𝒄 𝟐
2. If we know the lengths of 2 sides of a
right angled triangle, we can find the length
of the remaining side.