Math 116 Unit 2 - Prime Numbers, Rational Numbers, And The Pythagorean Theorem Worksheet Page 9
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10Applications of the Pythagorean Theorem
1) If a carpenter wants to make sure that a corner of a room is square and measures
out 12 ft and 15 ft along the walls. How long should he make the diagonal?
12 ft
15 ft
=
+
2
2
2
c
12
15
=
+
2
c
144
225
=
2
c
369
=
2
c
369
=
c
19
2 .
ft
2) An empty lot is 120 ft by 50 ft. How many feet would you save walking
diagonally across the lot instead of walking length and width?
50 ft
120 ft
=
+
2
2
2
c
120
50
=
+
2
c
14400
2500
=
2
c
16900
=
2
c
16900
=
c
130
ft
Compare to walking 120 ft + 50 ft = 170 ft
You would save walking 170 ft – 130 ft = 40 feet
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