Understanding & Applying the Pythagorean Theorem

Given a right triangle with legs measuring 5 cm and 12 cm, find the length of the hypotenuse.

• 13 cm

• 10 cm

• 15 cm

• 17 cm

Tags

CCSS.8.G.B.7

What is the length of the hypotenuse (c) if a = 5 cm and b = 12 cm?

• c = 13 cm

• c = 10 cm

• c = 15 cm

• c = 17 cm

Tags

CCSS.8.G.B.7

Example Problem #2: Solve to find the missing measurement: LEG a or b. Given a right triangle with legs 24 ft and b, and hypotenuse 40 ft, find the length of leg b.

• 32 ft

• 28 ft

• 34 ft

• 36 ft

Tags

CCSS.8.G.B.7

Using the Pythagorean Theorem, solve for the leg 'b' in a right triangle where the hypotenuse 'c' is 40 ft and the other leg 'a' is 24 ft. Calculate b using the formula: a² + b² = c², substitute the values, square each number, subtract, and take the square root to find b.

• 28 ft

• 30 ft

• 32 ft

• 34 ft

Tags

CCSS.8.G.B.8

What is the formula for the Pythagorean Theorem?

• a) a² + b² = c²

• b) c³ = a³ + b³

• c) c² = a² + b²

• d) a³ + b³ = c³

Tags

CCSS.8.G.B.8

What are the parts of the right triangle called that make up the right angle?

• Pythagorean Theorem

• Legs

• Right Angle

• Hypotenuse

What is the part of the right triangle called that is opposite of the right angle?

• Pythagorean Theorem

• Hypotenuse

• Legs

• Right Angle

Find the missing value in the right triangle. Round to the nearest tenth if necessary.

• 6.4 cm

• 6.5 cm

• 2.5 cm

• 4.7 cm

Tags

CCSS.8.G.B.7

Find the missing value in the right triangle. Round to the nearest tenth if necessary.

• 41.7

• 41.6

• 29.3

• 29.2

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which side is the hypotenuse?

• 9

• x

• 14

Tags

CCSS.HSG.CO.C.10