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Pythagoras

- Problems

- 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?

- 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.

- 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?

- 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.

- 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?

- 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.

- 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.

- 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?

- 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.

- 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?

- Pythagoras Problems.

The diagram shows a right angled triangle.

Calculate the lengths of the sides of the

triangle.