Pythagorean Theorem Worksheet Whole Numbers

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Learning Enhancement Team
Pythagoras’ Theorem
Worksheet:
This worksheet has questions about Pythagoras’ Theorem which defines the association
between the sides of a right-angled triangle. Specifically, the square of the hypotenuse is
equal to the sum of the squares of the other two sides.
Pythagoras’ Theorem
Model solutions to
this sheet
study guide
1.
If the hypotenuse of a right-angles triangle is given by c and the other two sides are
given by a and b, Pythagoras’ Theorem is given by
2
2
2
a
b
c
. One problem that
can arise when using Pythagoras’ Theorem is incorrectly rearranging the equation.
2
2
2
(i)
Rearrange
a
b
c
for a.
2
2
2
(ii)
Rearrange
a
b
c
for b.
2
2
2
(iii)
Rearrange
a
b
c
for c.
Before carrying on, ensure that you have rearranged the equation correctly in each case.
2.
Find the missing side in the following triangles. Give your answers to 2 decimal
places.
1.8cm
4.2mm
250m
4.1mm
50cm
3.2cm
210m
15cm
(i)
(ii)
(iii)
(iv)

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