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Pythagoras and Shorter sides

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by

Mr Mattock

on 25 May 2016

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Transcript of Pythagoras and Shorter sides

Pythagoras and Shorter sides
L.O. - To find shorter sides in right-angled triangles using Pythagoras' Theorem
Starter
8 cm
3 cm
x cm
Find the length x.

How would your working out process change if you swapped the position of the 8 cm and the x cm?
Shorter sides
P
+
T
=
H
H - P = T H - T = P
2
2
2
2
2
2
2
2
2
11 cm
4 cm
x
cm
Example
5 cm
17 cm
Main Activity 1
Red
Amber
Green
Answers
Red
Amber
Green
4 m
12 cm
15 mm
35 km
16 cm
60 km
16.8 cm
3.6 cm
9.39 cm
+
-
Starter
8 cm
3 cm
x cm
Find the length x.

How would your working out process change if you swapped the position of the 8 cm and the x cm?
x = 8.54 cm.

Instead of adding 3 and 8 ,
you would subtract 3 from 8 .
2
2
2
2
Example
5 cm
17 cm
17 - 5 = y
289 - 25 = y
264 cm = y
y = 264
y = 16.2 cm
2
2
2
2
2
2
2
Shorter sides
P
+
T
=
H
H - P = T H - T = P
2
2
2
2
2
2
2
2
2
11 cm
4 cm
x
cm
11 - 4 = x

121 - 16 = x
105 = x
x = 105 = 10.2 cm
2
2
2
2
2
Activities
Activity
Answers

Key
Examples

Worked
Example

Worked
Example
Full transcript