Special Right Triangles by Jim

Special Right Triangles by Jim - Transcript

Section 7 3 Section 7 3
spi 3 2 G

Jim Smith JCHS

Our First Special Right Our First Special Right Triangle Is A 3 4 5 The Hypotenuse Must Be A Multiple Of 5 And The Legs Must Be Multiples Of 3 And 4

Use The Pythagorean Theorem To Find X Use The Pythagorean Theorem To Find X

3 3

x

5 5

x

9 9 x 18 x 18 x 3 2 x

25 25 x 50 x 50 x 5 2 x

Speed Trials 45 45 90

4 4 2 2

4 2

7

7 2
7 13 2 13 2 13

2 2

13

If 2 Sides Of A Triangle Are If 2 Sides Of A Triangle Are Congruent Then The Angles Opposite Them Are Congruent

45


45 45 90
45

45

X

Legs are equal Legs are equal Leg x 2 hyp X 2
45

45 45 90



X

Mult by 2

Going Backwards DIVIDE Going Backwards DIVIDE

4 2

8
8 4 2 2
45

8 2 82 222 4 2

Div by 2

30 60 90 Triangles 30 60 90 Triangles
No angles are equal so no sides are congruent

Short
Leg

60

Hyp

Long Leg

30

30 60 90 Triangles 30 60 90 Triangles Mult by 2
Short
Leg

60

Hyp

Long Leg

30

30 60 90 30 60 90

8

60

2 x 8 16
30

30 60 90 30 60 90

5

60

2 x 5 10
30

30 60 90 30 60 90
Short
Leg

60

Hyp

Long Leg Mult by 3

30

30 60 90 30 60 90 15
60
Hyp

15 x 3 15 3

30

30 60 90 30 60 90 3
60
Hyp

3 x 3 3 3

30

Going Backwards DIVIDE Going Backwards DIVIDE

13 2

60
SL

13 H
LL

30

For now we ll leave it as an improper fraction

Going Backwards DIVIDE

5 3 5 3

60
SL

H

5 3

LL

30 30

Going Backwards DIVIDE Going Backwards DIVIDE

83 3 8 3 3 3

60
SL

H LL

8 83 3

30

30 60 90 30 60 90 9 3 2
30

9

5

30

10 3 3

30

6 3

12

9 2

5 3 3

6

What Do You What Do You Know About This Triangle

30 30

60




60



60