a and b are the two sides, and c is the hypotenuse
Use the Pythagorean Theorem Formula to solve for c
a2+b2
=
c2
Pythagoras’ Theorem Formula
30.92+27.92
=
c2
Plug in the known lengths
954.81+778.41
=
c2
Evaluate
√c2
=
√1733.22
Take the square root of both sides
c
=
41.6units
Rounded to one decimal place
c=41.6units
Question 2 of 4
2. Question
Find the value of the missing length c
a=3.5b=3.7c=?
The given measurements are in units
Round your answer to one decimal place
c=(5.1)units
Correct
Great Work!
Incorrect
Pythagoras’ Theorem Formula
a2+b2=c2
a and b are the two sides, and c is the hypotenuse
Use the Pythagorean Theorem Formula to solve for c
a2+b2
=
c2
Pythagoras’ Theorem Formula
3.52+3.72
=
c2
Plug in the known lengths
12.25+13.69
=
c2
Evaluate
√c2
=
√25.94
Take the square root of both sides
c
=
5.1units
Rounded to one decimal place
c=5.1units
Question 3 of 4
3. Question
One wall is 16m tall while the other is 10m tall. They stand 8m apart on a horizontal ground. A roof rests on top of both walls. Find the length of the roof.
a and b are the two sides, and c is the hypotenuse
Labelling each length of the triangle
First, notice that the horizontal ground measuring 8m is the same length as the horizontal side of the triangle.
a
=
8
Next, find the length of the side b. Do this by subtracting the lengths of the walls.
b
=
16-10
b
=
6
Finally, use the Pythagorean Theorem Formula to solve for c
a2+b2
=
c2
Pythagoras’ Theorem Formula
82+62
=
c2
Plug in the known lengths
64+36
=
c2
Evaluate
√c2
=
√100
Take the square root of both sides
c
=
10m
c=10m
Question 4 of 4
4. Question
A thin piece of wire 41 metres long is attached to the top of a flag pole. The other end is fixed to the ground at a distance of 15 metres from the base of the flag pole. Find the height of the flag pole.