Pythagoras

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#15055

Pythagoras Theorem

c2 = a2 + b2 when looking for the hypotenuse

a2 = c2 – b2 when looking for a shorter side

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#18788

The size of a television is measured as the length of the screen’s diagonal, to the nearest centimetre. If the TV is 45cm long, 24cm high and 40cm deep, what size is it?

This may look like a volume question, but it is really just Pythagoras. The diagonal is the hypotenuse of the rectangle with sides 24cm and 45cm.
size: c² = 45² + 24²
c² = 2601
c = 51
so the size is 51cm

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#18789

Find the value of c correct to 1 decimal place.
c2 = 82 + 102 c2 = 64 + 100 c2 = 164 c =√164 c = 12.8	c2 = a2 + b2 substitute a = 8 and b = 10 calculate and simplify don’t forget to square root to find c

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#18791

Find the value of a correct to 1 decimal place.
a2 = 182 – 122 a2 = 324 – 144 a2 = 180 a = √180 a = 13.4	a2 = c2 – b2 substitute c = 18 and b = 12 calculate and simplify don’t forget to square root to find a

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