# Worksheet: The Pythagorean Theorem

Q1:

Which of the relations below is correct?

• A
• B
• C
• D

Q2:

Is a right-angled triangle?

• Ano
• Byes

Q3:

In the following figure, find the length of .

Q4:

Find the area of the triangle , correct to one decimal place.

Q5:

Find the area of the square .

Q6:

Given that the area of the square is 1 024 cm2, and the area of the square is 1 600 cm2, find the side length of the shaded square.

Q7:

Triangles and are congruent. What is the length of ?

Q8:

Find the area of the rectangle given and . Give the answer to the nearest whole number.

Q9:

Find the perimeter of .

Q10:

Find the area of the rectangle giving the answer to the nearest square centimeter.

• A540 cm2
• B432 cm2
• C720 cm2
• D216 cm2

Q11:

The given tile is in the shape of a square. Which of the following is the closest to the length of the tile’s diagonal?

• A25 in
• B7 in
• C34 in
• D48 in
• E10 in

Q12:

is a cube. Determine the lengths and .

• A,
• B,
• C,
• D,

Q13:

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

Q14:

Determine the diagonal length of the rectangle whose perimeter is 326.4 cm and length is 115.2 cm.

Q15:

Given that the area of a rectangle is 1 680 cm2, and its width is 24 cm, find the length of its diagonal.

Q16:

Determine the area of the rectangle whose diagonal length is 55.1 cm, given that the length of one of its dimensions is 39.9 cm.

Q17:

The area of a square is 220.5. Find the length of its diagonal.

Q18:

The figure shows a student’s routes from home to school. Assuming that roads B and C are perpendicular, what distance is saved if he takes road A instead of the other two? Give your answer to two decimal places.

Q19:

Given that the area of each square on the chessboard is 81 cm2, find the length of the diagonal chessboard.

• A
5 184
cm
• B648 cm
• C cm
• D cm
• E72 cm

Q20:

The figure shows a 129 m long bridge on supports , attached at the midpoint . If , find the length of to the nearest hundredth.

Q21:

Daniel traveled north for 19 miles and then east for 13 miles. Determine, to the nearest tenth of a mile, how far he is from his starting point.

Q22:

Brandon has a rectangular back yard. He measured one side of the yard and found it to be 85 feet and its diagonal to be 117 feet. Determine, to the nearest tenth of a foot, the length of the other side of his back yard.

Q23:

A ladder of height 24 feet leaning against a wall reaches a window 19 feet above the ground. To the nearest tenth, how far from the building is the bottom of the ladder?