Pythagorean Theorem with Squares

If a triangle has a hypotenuse with a length of 12 cm and a leg with a length of 10 cm, how long is the other leg rounded to the nearest tenth?

• 22.2 cm

• 6.6 cm

• 2.4 cm

What is the formula used for the Pythagorean Theorem?

• a + b = c

• a² + b² = c²

• a₂ + b₂ = c₂

• a x b = c

Using the Pythagorean Theorem, find the area of the missing square (seen in picture)

• 30 cm²

• 15 cm²

• 315 cm²

• 45 cm²

Using the Pythagorean Theorem, find the length of the missing side of the triangle pictured:

• 13

• 17

• 7

Why do we use the Pythagorean Theorem?

• To find the missing side of a right triangle

• To find the area of a triangle

• To find the volume of a cone

• To find the circumference of a circle

If a triangle has sides that measure 3 cm, 4 cm and 5 cm - is it a RIGHT triangle?

• Yes, right triangle

• No, not a right triangle

Can these three squares be arranged to make a right triangle?

• Yes, they would form a right triangle

• No, they would not form a right triangle

If a triangle has sides that measure 8 mm, 17 mm and 15 mm - is it a RIGHT triangle? (be careful when you find c!)

• Yes, right triangle

• No, not a right triangle

Using the Pythagorean Theorem, find the length of the missing side of the triangle pictured:

• 12.12

• 21.2

• 7.3

Using the Pythagorean Theorem, find the length of the missing side of the triangle pictured:

• 23

• 17

• 7