PYTHAGORAS’ THEOREM AND TRIGONOMETRY
1) “Pythagoras’ Theorem states that
for any
….......
= …....... + ….......
………………….............................………..……................................…”
2) Use Pythagoras to work out the missing lengths showing your workings in the boxes below;
y
9cm
x
w
4cm
9cm
10cm
z
12cm
8cm
5cm
3cm
3)
Work out the length of line segment AB
y-axis (x=0)
x-axis (y=0)
TRIGONOMETRY
4) Label the triangle with the correct names for each side.
Hypotenuse = “h”
Opposite = “o”
𝜃
Adjacent = “a”
5) Work out the missing lengths using trigonometry
Steps to success:
z
10 cm
50o
y
Label the sides o,a,h
Sin 𝜃 =
Cos 𝜃 =
𝑎
ℎ
6 cm
x
Choose between:
𝑜
ℎ
40o
Tan 𝜃 =
𝑜
𝑎
Substitute in the values
Solve by rearranging if
necessary
6) Work out the size of angles x and y
5 cm
yo
15 cm
xo
8 cm
10 cm
o
8 cm 27
PYTHAGORAS’ THEOREM AND TRIGONOMETRY
Applied Questions: Pythagoras
Trigonometry