Pythagorean Theorem and Distance

Pythagorean Theorem and Distance Review

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Pythagorean Theorem

• Must have a right triangle

• Must label the "c" correctly as the hypotenuse

• Substitute lengths into the equation

• Simplify and solve

Multiple Choice

The Pythagorean Theorem ONLY works on which triangle?

• obtuse

• scalene

• isosceles

• right

Multiple Choice

What is the side of a right triangle across from the right angle called?

• square

• arm

• leg

• hypotenuse

Multiple Choice

Find the length of the missing side.

• 25 cm

• 42 cm

• 52 cm

• 48 cm

Multiple Choice

Find the length of the missing side.

• 48 in.

• 52 in.

• 16 in.

• 24 in.

Multiple Choice

A 15 ft ladder is leaning against a building. The base of the ladder is 9 ft from the building. How high up does the ladder reach?

• 12

• 15

• 9

• 10

Finding Distance

• Distance formula comes from pythagorean theorem

• You can turn the points into a right triangle or

• You can substitute the points into the formula

• Be careful typing it into the calculator!!

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Multiple Choice

What is the distance between the two points?

• 6.3

• 6.5

• 6.7

• 16

Multiple Choice

Find the distance between J and K.

• 8.2

• 7.7

• 9

• 10.2

Multiple Choice

 Find the distance between (2,3) & (4,1)

• 3

• 5.66

• 2.83

• 2.79

Multiple Choice

Find the Distance between (10,3) & (2,-3)

• 11

• 21

• 10

• -21