mr barton maths

Super 8s: Pythagoras

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Pythagoras

Select the skills to practice, and then click Go!

Foundational skills
Identify the hypotenuse
\[ \text{Hypotenuse is opposite } \square \]
Identify which side of a right-angled triangle is the hypotenuse.
Finding the hypotenuse
Calculator input (Hypotenuse)
\[ \sqrt{6^2 + 8^2} \rightarrow 10 \]
Set up the calculator buttons to find the hypotenuse.
Find the hypotenuse (Visual)
\[ x^2 = 5^2 + 9^2 \]
Calculate the length of the hypotenuse given two shorter sides.
Finding a shorter side
Calculator input (Shorter Side)
\[ \sqrt{10^2 – 6^2} \rightarrow 8 \]
Set up the calculator buttons to find a shorter side.
Find a shorter side (Visual)
\[ x^2 = 11^2 – 4^2 \]
Calculate a shorter side given the hypotenuse and one leg.
Special cases
Determine if right-angled
\[ 3^2 + 4^2 = 5^2 \rightarrow \text{Yes} \]
Use Pythagoras’ theorem to check if a triangle is right-angled.
Timer (Optional)
Question