Pythagorean Theorem Problem Solving

What is the formula used to solve for the hypotenuse?

• a²⁺b²=c²

• a+b=c

• a-b=c

• c-a=c

What is the name for side c?

• head

• body

• hippopotamus

• hypotenuse

What letter represents the hypotenuse?

• a

• b

• a and b

• c

The first Pythagorean Triple is ______

• 1 - 2 - 3

• 2 - 3 - 4

• 3 - 4 - 5

• 1 - 1 - 2

When do we use the Pythagorean Theorem?

• To find a missing angle in a right triangle

• To find the missing length of a right triangle

• To find the area of a right triangle

• To find the slope of a right triangle

Find h

• 35.60

• 35.00

• 35.71

• 61.03

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

• Divide both sides by 2

• Take the square root of both sides

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

Which diagram best represents the problem?

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You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be? Which equation could be used to solve the problem?

How far from the base of a house do you need to place a 15' ladder so that is exactly reaches the top of a 12' wall?

• 9 feet

• 19.2 feet

• 81 feet

• 369 feet