EQ: What is the relationship between the 3 sides in a right triangle?

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Pythagorean Theorem

Review: Solve for x

1. 40 = x2

2. x2 + 20 = 45

3. 2x2 = 18

Right Triangle

• A triangle with a 90° angle–Hypotenuse: side across from the 90° angle

(longest side)

– Legs: other two sides LegLeg

Hypotenuse

The Pythagorean Theorem

leg2 + leg2 = hypotenuse2

LegLeg

Hypotenuse

Identify the legs & the hypotenuse

EX 1) FIND THE LENGTH OF THE MISSING SIDE:

EX 4) DETERMINE IF EACH SET OF SIDES WILL FORM A RIGHT TRIANGLE:

4 cm, 3 cm, 5 cm

13 in, 5 in, 12 in

6 cm, 8 cm, 14 cm

EX 5) A LADDER LEANS AGAINST THE TOP OF A BUILDING. THE LADDER IS 30 FT LONG, AND IT IS 15 FT FROM THE BASE OF THE BUILDING. HOW TALL IS THE BUILDING?

Plickers!

Find the missing side

3.87 cm

14 cmx

Find the missing side

21.9 cm

12 ft13 ft

5 cm12 cm17 cm

Determine if the triangle below is a RIGHT triangle

YES289=289

Determine if the following lengths create a RIGHT triangle

7 ft, 22 ft, 26 ft

NO533 = 676

A 13 feet ladder is placed 5 feet away from a wall. The distance from the ground straight up to the top of the wall is 14 feet Will the ladder

reach the top of the wall?

NoOnly goes up 12 ft

A baseball diamond is a square with sides of 90 feet. What is the distance,

between first base and third base?

127.3 ft

A suitcase measures 24 inches long and 18 inches high. What is the diagonal

length of the suitcase?

30.6 in

Pedro is in a hot air balloon that has just taken off and is now floating 12 meters above its launching point. Bruce is standing on the

ground, 16 meters away from the launching point. How far apart are Pedro and Bruce?

20 meters

A ladder is leaning against a building at a point 20 ft above the ground. If the

base of the ladder is 12 ft from the building, how long is the ladder?

23.3 ft

John leaves school to go home. He walks 6 blocks North and then 8 blocks west.

How far is John from the school?

10 blocks

EQ: What is the relationship between the 3 sides in a right triangle?

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