Exploring the Pythagorean Theorem

What is the longest side of a right-angled triangle called?

• Base

• Opposite

• Adjacent

• Hypotenuse

How is the hypotenuse positioned in relation to the right angle in a right-angled triangle?

• Parallel to the base

• Adjacent to it

• Opposite to it

• At a 45-degree angle

In Pythagoras theorem, which letter represents the hypotenuse?

• B

• D

• C

• A

How do you calculate the hypotenuse if the other two sides are known?

• A + B = C

• A^2 + B^2 = C^2

• A^2 - B^2 = C^2

• A/B = C

What is the purpose of Pythagoras theorem?

• To calculate the area of a triangle

• To prove that a triangle is right-angled

• To find the length of one side of a right-angled triangle when the other two are known

• To determine the angles of a triangle

Can Pythagoras theorem be applied to shapes other than triangles?

• Yes, but only to rectangles and squares

• No, only to triangles

• Yes, to any shape

• Yes, but only to circles

If one side of a right-angled triangle is 3 cm and another is 4 cm, what is the length of the hypotenuse?

• 8 cm

• 6 cm

• 5 cm

• 7 cm

What is the first step in applying Pythagoras theorem to find an unknown side?

• Square root both sides

• Multiply the sides by 2

• Identify the known sides

• Calculate the area of the triangle

If the hypotenuse of a right-angled triangle is 10 mm and one side is 7 mm, what is the length of the other side?

• 3 mm

• 17 mm

• 7.14 mm

• 5 mm

What is the diagonal distance of a rectangle with a height of 8 cm and a length of 17 cm?

• 25 cm

• 15 cm

• 20 cm

• 18.8 cm