find the missing side of the triangle. 1) 2) 3) d.n.a

Find the missing side of the triangle.

1)

7

7

x2)

5 x

5

3)

1520

x

D.N.A.

Special Right TrianglesChapter 8.3

DNA

NUMBER SENSE

STATISTICS, DATA, AND PROB.

ALGEBRA AND FUNCTIONS

MEASUREMENT AND GEOMETRY

MATHEMATICAL REASONING

ALGEBRA 1

Find the length of the Hypotenuse222 55 c

25252 c50c

225c25c

5

5

45o

45o

Find the length of the Hypotenuse222 xxc

22xc 22xc

2xc x

x

45o

45o

45o-45o-90o Triangle• The hypotenuse is 2 times as long as each leg.

• x, x, x(2)

x

x

2x

Find the missing sides

7

7

27

Find the missing sides

8

8

28

Find the missing sides

1025

25

102 x

2

10x

2

2

2

10x

2

210

25x

Find the length of the missing side222 510 x251002 x

75x325x

35x10

5

60o

30o

35

Find the length of the missing side222)2( bxx 2224 bxx

23xb32xb

3xb

2x

x

60o

30o

3x

223 bx

30o-60o-90o Triangle

• Legs x, x3

• Hypotenuse 2x

2x

x

60o

30o

3x

Find the missing side lengths

16

8

60o

30o

38

Find the missing side lengths

12

6

60o

30o

36

Find the missing side lengths

15

60o

30o

310

35

335 3595

Find the missing side lengths

8

60o

30o

3

316

3

38

83 x

3

8x

3

3

3

8x

3

38

3

3162 x

Find the missing side lengths

12

60o

30o

38

34

123 x

3

12x

3

3

3

12x

3

312

382 x

34

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

Find BC.

A. 4 in.

B. 8 in.

C.

D. 12 in.

Special Triangles in a Coordinate Plane

COORDINATE GEOMETRY ΔWXY is a 30°–60°–90° triangle with right angle X and as the longer leg.

Graph points X(–2, 7) and Y(–7, 7), and locate point W in Quadrant III.

Copy this problem!

units .7835

Special Triangles in a Coordinate PlaneGraph X and Y. lies on a horizontal gridline of the coordinate plane. Since will be perpendicular to it lies on a vertical gridline. Find the length of

5

III

III IV

YX=Short leg

Long leg

XW =

W

30

60

Coordinates:

(-2, -1.7)

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. (–4.8, –6)

B. (–2.2, –6)

C. (–1.5, –6)

D. (–12.6, –6)

COORDINATE GEOMETRY ΔRST is a 30°–60°–90° triangle with right angle R and as the longer leg. Graph points T(3, 3) and R(3, –6) and locate point S in Quadrant III. What are the approximate coordinates of S?

HomeworkChapter 8.3• pp. 451

#1 – 5, 8 - 15, 34, 36, 40, 42, 44 and 48