# 7.7.4. Pythagoras Theorem

Find the area of the triangle approximated to the nearest tenth, if needed.

• A
• B
• C
• D
Show Solution

In the following figure, find the length of .

• Acm
• Bcm
• Ccm
• Dcm
Show Solution

Given that is a right-angled triangle, where cm and cm, determine the length of .

Show Solution

Determine the length of given that and are two right triangles, cm, cm, and cm.

Show Solution

Given that and are two right-angled triangles, and cm, find the area of .

Show Solution

If is a square, find the length of .

Show Solution

In the following figure, is a trapezium where and . Find its area.

Show Solution

is a trapezium where and . Determine the length of .

Show Solution

is a trapezium where and . Determine the length of .

Show Solution

Determine the length of , given that and are two congruent right-angled triangles.

Show Solution

Determine the length of , given that and are two congruent right-angled triangles.

Show Solution

Determine the area of .

Show Solution

Find the perimeter of .

Show Solution

If at , where is the midpoint of , find the length of .

Show Solution

If at , where is the midpoint of , find the length of .

Show Solution

Find the area of the square .

Show Solution

Given that the area of the square is , and the area of the square is , find the side length of the shaded square.

Show Solution

Determine which of the following relations is true using the figure below.

• A
• B
• C
• D
Show Solution

In the figure below, . Find the area of the shaded square.

• A
• B
• C
• D
Show Solution

Which of the relations below is correct?

• A
• B
• C
• D
Show Solution

A window cleaner has a ladder that is 8.1 metres long. If he places it on the ground such that its top is at a window that is 6.76 metres above the ground, determine the distance between the base of the ladder and the wall, and approximate the result to the nearest hundredth.

• Ametres
• Bmetres
• Cmetres
• Dmetres
Show Solution