Pythagorean Theorem

True or False: The Pythagorean Theorem can be used for obtuse triangles.

• True

• False

• Only for right triangles

• Only for acute triangles

What type of triangle does the Pythagorean Theorem apply to?

• Equilateral triangles

• Isosceles triangles

• Right triangles

• Scalene triangles

Find the value of the unknown side if one side is 5 cm and the hypotenuse is 13 cm.

• 10 cm

• 11 cm

• 12 cm

• 14 cm

If a right triangle has a hypotenuse of 15 cm and one side of 9 cm, what is the length of the other side?

• 10 cm

• 11 cm

• 12 cm

• 13 cm

Can the Pythagorean Theorem be used to find the area of a triangle?

• Yes, it can be used to find the area directly.

• No, the Pythagorean Theorem is used to find the lengths of sides, not the area.

• Yes, it can be used to find the area if the triangle is right-angled.

• No, the Pythagorean Theorem is only applicable to circles.

What is the hypotenuse of a right triangle with legs measuring 12 cm and 16 cm?

• 18 cm

• 20 cm

• 22 cm

• 24 cm

What is the value of c if a = 9 and b = 12 in a right triangle?

• 12

• 15

• 18

• 21

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

• The sum of the squares of the two shorter sides equals the square of the longest side (hypotenuse).

• The sum of the lengths of all three sides is equal to the length of the hypotenuse.

• The product of the two shorter sides equals the square of the longest side.

• The difference between the squares of the two shorter sides equals the square of the longest side.

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

• 4 cm

• 5 cm

• 6 cm

• 7 cm

What is the significance of the Pythagorean Theorem in real life?

• It is used in construction, navigation, and various fields of science and engineering to determine distances and angles.

• It is primarily used in algebra to solve quadratic equations.

• It helps in calculating the area of circles and triangles.

• It is used to determine the speed of light in a vacuum.