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Similar triangles (part 2)

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by

Mr Mattock

on 18 June 2016

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Transcript of Similar triangles (part 2)

Similar triangles (part 2)
Starter
Triangles ABC and DEF are similar. Work out the exact length of DE.
Give your answer in the form
a

b
, where
a
and
b
are integers.
Activity
Complete the worksheet.
L.O. - To find missing lengths in connected similar triangle diagrams.
Examples
Examples
S.f. = 1.5
x + 5 = 7.5
x = 2.5 cm
S.F. = 1
6 x 1 = 10
AB = 10 cm
2
3
2
3
Activity
Activity
S.F = 2
17 x 2 = 40

x = 40 - 17 = 23

3
8
3
8
3
8
3
8
3
8
S.F = 3.5
5 x 3.5 = 17.5
x = 17.5 cm.
Activity
Complete the worksheet.
A
B
C
4 cm
8 cm
D
E
F
10 cm
Starter
Triangles ABC and DEF are similar. Work out the exact length of DE.
Give your answer in the form
a

b
, where
a
and
b
are integers.
A
B
C
4 cm
8 cm
D
E
F
10 cm
80
or 4 5 .
5 5 .
Activities
Activity
Answers

Key
Examples

Worked
Example

Worked
Example

Starter
Triangles ABD and BCD are similar. Work out the exact length of AB.
Give your answer in the form
a

b
, where
a
and
b
are integers.
A
B
C
4 cm
6 cm
D
Starter
Triangles ABD and BCD are similar. Work out the exact length of AB.
Give your answer in the form
a

b
, where
a
and
b
are integers.
A
B
C
4 cm
6 cm
D
BC = 4 + 6 = 52
BC = 52 = 2 13

ratio of lengths =4:6 = 2:3
so s.f. = 1.5

1.5 x 2 13 = 3 13
2
2
2
Full transcript