Pythagorean Theorem: A Step-by-Step Guide | Find a Missing Side Length Using the Pythagorean Theorem

In the Pythagorean theorem (a² + b² = c²), which side of a right triangle does 'c' always represent?

• A leg

• The shortest side

• The hypotenuse

• The side adjacent to the right angle

Under what condition can the Pythagorean theorem be used to find the length of a missing side?

• Only in equilateral triangles.

• Only in isosceles triangles.

• Only in right triangles.

• In any type of triangle.

A right triangle has legs measuring 8 meters and 6 meters. What is the length of its hypotenuse?

• 12 meters

• 10 meters

• 14 meters

• 100 meters

A right triangle has legs measuring 10 feet and 7 feet. What is the approximate length of its hypotenuse, rounded to the nearest hundredth?

• 12.21 feet

• 11.58 feet

• 13.00 feet

• 14.90 feet

Which formula is used to find the relationship between the sides of a right triangle?

• A = lw

• P = 2(l+w)

• a^2 + b^2 = c^2

• V = lwh

In a right triangle, which side is always represented by 'c' in the Pythagorean theorem (a^2 + b^2 = c^2)?

• The shortest leg

• The longest leg

• The side opposite the right angle

• The side adjacent to the right angle

A right triangle has one leg measuring 5 yards and its hypotenuse measuring 13 yards. What is the length of the other leg?

• 8 yards

• 10 yards

• 12 yards

• 14 yards

In a right triangle, one leg measures 4 meters and the hypotenuse measures 9 meters. What is the approximate length of the other leg, rounded to two decimal places?

• 7.21 meters

• 8.06 meters

• 9.85 meters

• 10.30 meters