+ All Categories
Home > Documents > EQ: What is the relationship between the 3 sides in a right triangle?

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

Date post: 19-Jan-2016
Category:
Upload: meghan-ramsey
View: 217 times
Download: 0 times
Share this document with a friend
Popular Tags:
28
Pythagorean Theorem EQ: What is the relationship between the 3 sides in a right triangle?
Transcript
Page 1: EQ: What is the relationship between the 3 sides in a right triangle?

Pythagorean Theorem

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

Page 2: EQ: What is the relationship between the 3 sides in a right triangle?

Review: Solve for x

1. 40 = x2

2. x2 + 20 = 45

3. 2x2 = 18

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

Right Triangle

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

(longest side)

– Legs: other two sides LegLeg

Hypotenuse

Page 4: EQ: What is the relationship between the 3 sides in a right triangle?

The Pythagorean Theorem

leg2 + leg2 = hypotenuse2

LegLeg

Hypotenuse

Page 5: EQ: What is the relationship between the 3 sides in a right triangle?

Identify the legs & the hypotenuse

Page 6: EQ: What is the relationship between the 3 sides in a right triangle?

Identify the legs & the hypotenuse

Page 7: EQ: What is the relationship between the 3 sides in a right triangle?

Identify the legs & the hypotenuse

Page 8: EQ: What is the relationship between the 3 sides in a right triangle?

EX 1) FIND THE LENGTH OF THE MISSING SIDE:

Page 9: EQ: What is the relationship between the 3 sides in a right triangle?

EX 2) FIND THE LENGTH OF THE MISSING SIDE:

Page 10: EQ: What is the relationship between the 3 sides in a right triangle?

EX 3) FIND THE LENGTH OF THE MISSING SIDE:

Page 11: EQ: What is the relationship between the 3 sides in a right triangle?

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

Page 12: EQ: What is the relationship between the 3 sides in a right triangle?

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?

Page 13: EQ: What is the relationship between the 3 sides in a right triangle?

Plickers!

Page 14: EQ: What is the relationship between the 3 sides in a right triangle?

?

Find the missing side

5 cm

Page 15: EQ: What is the relationship between the 3 sides in a right triangle?

?

Find the missing side

3.87 cm

Page 16: EQ: What is the relationship between the 3 sides in a right triangle?

26 cm

14 cmx

Find the missing side

21.9 cm

Page 17: EQ: What is the relationship between the 3 sides in a right triangle?

25 cm

24 cm

DC

A E

7 cm

Page 18: EQ: What is the relationship between the 3 sides in a right triangle?

X Y Z

W V

12 ft13 ft

5 cm12 cm17 cm

Page 19: EQ: What is the relationship between the 3 sides in a right triangle?

Determine if the triangle below is a RIGHT triangle

8

15

17

YES289=289

Page 20: EQ: What is the relationship between the 3 sides in a right triangle?

Determine if the following lengths create a RIGHT triangle

7 ft, 22 ft, 26 ft

NO533 = 676

Page 21: EQ: What is the relationship between the 3 sides in a right triangle?

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

Page 22: EQ: What is the relationship between the 3 sides in a right triangle?

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

between first base and third base?

127.3 ft

Page 23: EQ: What is the relationship between the 3 sides in a right triangle?

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

length of the suitcase?

30.6 in

Page 24: EQ: What is the relationship between the 3 sides in a right triangle?

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

Page 25: EQ: What is the relationship between the 3 sides in a right triangle?

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

Page 26: EQ: What is the relationship between the 3 sides in a right triangle?

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

Page 27: EQ: What is the relationship between the 3 sides in a right triangle?

10 ft

Page 28: EQ: What is the relationship between the 3 sides in a right triangle?

20 ft


Recommended