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