Home > Measurement > Pythagoras Theorem > Examples of Pythagoras Theorem

# Examples of Pythagoras Theorem

Here are few examples of Pythagoras theorem and its application in different situations.

1. Find the length of the hypotenuse in the following triangles (all measurements in cm)

a) k2  =  92  +  402

=  81 + 1600

k  =    =  41 cm

b) q2  =  202  +  212

=  400 + 441

q  =    =  29 cm

c) s2  =  62  +  82

=  36 + 64

s  =    =  10 cm

2. Find as a surd, the exact length of the hypotenuse in each triangle (all measurements are in mm).

a) h2  =  22  +  42

=  4 + 16

h  =

=  2 mm

b) s2  =  72  +  112

=  49 + 121

s  =    =  13.04 mm

c) h2  =  62  +  62

=  36 + 36

h  =

=

h  =  6 mm

3. Find (correct to 1 decimal place) the length of the hypotenuse in a right-angled triangle whose perpendicular sides have lengths:

a) 2.3 cm, 7.4 cm

c2 = 2.32 + 7.42

c  =

=

=  7.7 cm

b) 6.7 m, 8.5 m

c2 = 6.72 + 8.52

c  =

=

=  10.8 m

c) 4.8 mm, 9.6 mm

c2 = 4.82 + 9.62

c  =

=

=  10.7 mm