Show:
Squares
Pythagoras Theorem
Length of the Hypotenuse
Calculating the Shorter Side
Applying Pythagoras
100
What is 12 squared?
144
100
What is the Formula for Pythagoras Theorem?
a squared + b squared = c squared
100
Calculate the length of the Hypotenuse - draw a diagram a = 6 b = 8 c = ?
c =10
100
Calculate the length of the shorter side. a = 15 c = 17 b = ?
c = 8
100
Two skyscrapers are located 25m apart and a cable of length 62.3m links the top of the two buildings. If the taller building is 200m tall, what is the height of the shorter building? Give your answer to 1 decimal place.
= 142.9m
200
What is the Square Root of 64?
8
200
If c squared = 29, What is the length of c as an exact value.
Square root of 29
200
Calculate the length of the hypotenuse: a = 9 b = 40 c = ?
c = 41
200
Calculate the length of the shorter side; - show your answer to 2 decimal places. a = 7.6 c = 10 b = ?
b = 6.50
200
Two poles are located 2m apart. A wire links the tops of the two poles. Find the length of the wire if the poles are 2.8m and 5m in height. Give your answer to 1 decimal place.
= 3.0m
300
10 Squared + 2 Squared =
100 + 4 = 104
300
What type of triangle does Pythagoras Theorem only work with?
Right-angled triangles
300
Calculate the length of the hypotenuse: a = 24 b = 18 c = ?
c = 30
300
Calculate the length of the shorter side: a = 12 c = 20 b = ?
b = 16
300
A Garage is to be built with the skillion roof (a roof with a single slope). The measurements are given in the diagram. Calculate the pitch line length, to the nearest millimetre. Allow 500mm for each of the eaves.
= 3823mm
400
What is the Square Root of 3 squared + 4 squared?
5
400
If a = 2 and b = 3, what is the length of c? Hint: - Draw a diagram and label the sides - substitute and solve.
c = sqrt 13
400
Calculate the length of the hypotenuse: a = 7.4 b = 8.6 c = ?
c = 11.35
400
Calculate the length of the shorter side - express your answer to 2 decimal places. a = 5 c = 10 b = ?
b = 8.66
400
Two bushwalkers are standing on different mountain side. According to their maps, one of the them is at a height of 2120m and the other is at a height of 1650m. If the horizontal distance between them is 950m, find the direct distance between the two bushwalkers. Give your answer correct to the nearest metre.
= 1060m
500
9 Squared + 5 Squared =
81 + 25 = 106
500
Calculate the length of the hypotenuse - leave your answer in exact values; a = 8 b = 17 c = ?
c = sqrt 353
500
Calculate the length of the shorter side - express your answer in exact values. a = 40cm c = 0.5m b = ?
b = 30cm
500
In a particular circle of radius 2cm, AB is the diameter and C is a point of the circumference. Angle ACB is a right angle. The chord AC is 1cm in length. a) Draw the triangle ABC as described and mark all the important information b) Find the length of BC correct to 1 decimal place.
a) (Teacher to draw) b) 3.9cm