Select the equation which shows Pythagoras' Theorem for this triangle.
\[{r^2} = {m^2} + {p^2}\]
\[{m^2} = {r^2} + {p^2}\]
\[{p^2} = {m^2} \times {r^2}\]
Calculate the length of the hypotenuse. Give your answer to 2 decimal places.
s = 12.04
s = 20.80
s = 20.81
t = 3.94
t = 3.95
t = 9.23
r = 40.76
r = 107.05
r = 107.06
Calculate \(x\) for this triangle. Give your answer to 2 decimal places.
\[x = 10.70\]
\[x = 10.72\]
\[x = 16.64\]
\[x = 8.08\]
\[x = 10.37\]
\[x = 10.38\]
\[x = 22.97\]
\[x = 22.98\]
\[x = 32.24\]
How far up the wall will the ladder reach? Give your answer to 2 d.p.
\[x = 3.84m\]
\[x = 5.93m\]
\[x = 5.94m\]
What is the distance between the points A(2, 1) and B(8, 9)?
14
10
5
How far apart are P( -3, 4) and Q(4, -2)? Give your answer correct to one decimal place.
6.9
9.3
9.2