Pythagoras

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Pythagoras

• Problems

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• Pythagoras Problems.

A ship leaves port and sails 18km north. It
then turns and sails 15km west. How far is the
ship from the port?
The hands of a clock are 8.4cm and 5.8cm long.
How far apart are the tips of the hands at 9pm?
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• Pythagoras Problems.

Calculate the value of x in the diagram shown.
Give your answer correct to 1 decimal place.
The diagram shows a rhombus with diagonals 19cm
and 9cm long. Calculate the length of the side
of the rhombus.
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• Pythagoras Problems.

On square paper plot the points A(-4,2), B(7,-3)
and C(3,6) and form a triangle. Use Pythagoras
to find the perimeter of the triangle.
A wall is 6m high. A ladder 14m long rests
against the wall with the foot of the ladder 9m
from the bottom of the wall as shown in the
diagram. What length of the ladder x hangs over
the top of the wall?
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• Pythagoras Problems.

Calculate the values of x and y in the diagram
shown.
Use Pythagoras to find the length of the line
marked with an x.
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• Pythagoras Problems.

If A(1,2), B(5,1) and C(4,-3) are 3 vertices of a
rectangle ABCD, find the coordinates of D.
Draw the rectangle on square paper. Use
Pythagoras to find the lengths of the sides and
the diagonals of the rectangle.
An aero plane leaves an airport and flies 98 km
north east. It then turns and flies 114 km south
east. How far is the aero plane from the
airport?
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• Pythagoras Problems.

An equilateral triangle has side of length 8cm.
Find the length of the dotted line in the
diagram.
Find the perimeter of triangle ABC.
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• Pythagoras Problems.

The size of a television screen is given as the
size of the diagonal length of the screen. If
a television screen has a length of 32 inches
and a breadth of 27 inches, what size screen
does the television have?
The diagram shows an arena used for animals at
the Royal Agricultural Show at Ingliston.
Calculate the total length of fencing needed to
construct this arena.
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• Pythagoras Problems.

The lengths of the diagonals of a kite are 16cm
and 6cm respectively. Calculate the lengths of
the sides of the kite
Which of the points A(4,5), B(3,-5) and C(-6,2)
is furthest away from the origin?
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• Pythagoras Problems.

Use Pythagoras to find x.
Calculate the length of the side marked x in the
diagram shown. Give your answer correct to 1
decimal place.
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• Pythagoras Problems.

An aero plane flight BA2184 leaves an airport
and flies 90 miles north and then 80 miles west.
At the same time a second aero plane Ryan4456
leaves the airport and flies at the same speed,
60 miles south and then 110 miles east. How far
apart are the two planes at this time?
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• Pythagoras Problems.

The diagram shows a right angled triangle.
Calculate the lengths of the sides of the
triangle.