Pythagoras Theorem

1
Pythagoras Theorem
Hypotenuse
c
a
b
NB To find the Hypotenuse we must square the
other sides and then add together. To find any
other side we square the sides and subtract. The
side is then found by taking the square root.
2
Example Find the length of PQ correct to 2
significant figures
3
Example Find the value of y correct to 1
decimal place.
4
Example Calculate the value of x in each of the
following (answers to 2dp)
(i) (ii)
5
Example A ladder 17m long reaches 12m up a
vertical wall. If it rests on horizontal ground,
how far is its foot from the foot of the wall?
6
Exam past paper question AQA 1994 Brian has a
2 in 1 ladder. He can use it either as a step
ladder or as an extension ladder, as shown.
The ladder consists of two parts. Each part is
240cm in length. Each part is divided by five
steps into six equal sections. The length of AB
198cm. Calculate the height of the top of the
step ladder from the ground.