Tajuk : Penyelesaian Segitiga
SOLUTION OF TRIANGLES
1.2 Use Sine Rule to find the unknown sides or angles of a triangle.
Task 1 : Find the unknown sides of a triangle when two of its angles and one of the corresponding
sides are known.
|(1) Diagram 1 shows the triangle ABC. |Answer : |
| | |
| |[pic] |
| | |
| |[pic] |
| | |
| |Using the scientific calculator, |
| | |
| |BC = 12.32 cm |
| | |
| | |
|Calculate the length of BC. | |
|(2) Diagram 2 shows the triangle PQR | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|Calculate the length of PQ. |[ 8.794 cm ] |
|(3) Diagram 3 shows the triangle DEF. | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|Calculate the length of DE. | |
| | |
| | |
| |[ 10.00 cm ] |
|(4) Diagram 4 shows the triangle KLM. | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|Calculate the length of KM. | |
| | |
| |[ 11.26 cm ] |
|(5) Diagram 5 shows the triangle ABC. |Answer : |
| |[pic] |
| | |
| |[pic] |
| | |
| |[pic] |
| | |
| |Using the scientific calculator, |
| | |
| |AC = 11.56 cm |
| | |
|Calculate the length of AC. | |
|(6) Diagram 6 shows the triangle PQR | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|Calculate the length of PR. | |
| |[ 6.527 cm ] |
|(7) Diagram 7 shows the triangle DEF. | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|Calculate the length of EF. | |
| | |
| | |
| | |
| |[ 17.25 cm ] |
|(8) Diagram 8 shows the triangle KLM. | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|Calculate the length of KL. | |
| | |
| | |
| | |
| | |
| |[ 16.26 cm ] |
Task 2 : Find the unknown sides of a triangle when two of its angles and the side not corresponding
to the angles are known.
|(9) Diagram 9 shows the triangle ABC. |Answer : |
| | |
| |[pic] |
| | |
| |[pic] |
| | |
| |[pic] |
| | |
| |Using scientific calculator, |
| | |
| |BC = 9.9996 cm or 10.00 cm |
| | |
|Calculate the length of BC. | |
|(10) Diagram 10 shows the triangle ABC. | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|Calculate the length of AC. | |
| | |
| |[ 4.517 cm ] |
|(11) Diagram 11 shows the triangle PQR. | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|Calculate the length of PQ. | |
| | |
| | |
| |[ 3.810 cm ] |
|(12) Diagram 12 shows the triangle DEF. | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|Calculate the length of DE. | |
| |[ 5.189 cm ] |
Task 3 : Find the unknown angles of a triangle when two sides and a non-included angle are given.
|(1) Diagram 1 shows the triangle ABC. |Answer : |
| | |
| |[pic] |
| | |
| |[pic] |
| |[pic] |
| |[pic] |
| |[pic] |
| | |
| | |
| | |
|Find (ACB. | |
|(2) Diagram 2 shows the triangle KLM | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|Find (KLM | |
| | |
| |[ 27.360 ] |
|(3) Diagram 3 shows the triangle DEF. | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|Find (DFE. | |
| | |
| | |
| |[ 11.090 ] |
|(4) Diagram 4 shows the triangle PQR. | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|Find (QPR. | |
| | |
| | |
| | |
| |[ 36.110 ] |
|(5) Diagram 5 shows the triangle ABC. |Answer : |
| |[pic] |
| |[pic] |
| |[pic] |
| |[pic] |
| |[pic] |
| |[pic] |
| | |
| | |
| | |
|Find (ABC. | |
| | |
| | |
|(6) Diagram 6 shows the triangle KLM. | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|Find (KLM. | |
| | |
| |[ 138.640 ] |
|(7) Diagram 7 shows the triangle DEF. | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|Find (DFE. | |
| | |
| | |
| | |
| |[ 124.460 ] |
|(8) Diagram 8 shows the triangle PQR. | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|Find (PQR. | |
| | |
| | |
| |[ 94.150 ] |
Task 4 : Find the unknown side of a triangle when two sides and a non-included angle are given.
|(1) Diagram 1 shows the triangle ABC. |Answer : |
| |[pic] |
| |[pic] |
| |[pic] |
| |[pic] |
| |[pic] |
| |[pic] |
| |[pic] |
| |[pic] |
| | |
|Given that (ACB is an obtuse angle, find |AC = 8.018 cm |
|the length of AC. | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|(2) Diagram 2 shows the triangle KLM | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|Given that (KLM is an obtuse angle, find | |
|the length of ML. | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| |[ 2.952 cm ] |
|(3) Diagram 3 shows the triangle DEF. | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|Given that the value of (EDF is greater than | |
|900, find the length of DE. | |
| | |
| | |
| | |
| | |
| | |
| | |
| |[ 5.040 cm ] |
|(4) Diagram 4 shows the triangle PQR. | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|Given that (PQR is an angle in the second | |
|quadrant of the cartesian plane, find the | |
|length of QR. | |
| | |
| | |
| | |
| | |
| |[ 2.707 cm ] |
|(5) Diagram 5 shows the triangle KLM. | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|Given that (KLM is an angle in the second | |
|quadrant of the cartesian plane, find the | |
|length of KL. | |
| | |
| | |
| | |
| | |
| | |
| |[ 9.686 cm ] |
-----------------------
Diagram 12
[pic]
Diagram 1
5.6 cm
[pic]
Diagram 2
D
E
F
600
350 16’
15 cm
Diagram 3
Diagram 4
15 cm
630
420
M
K
L
510
720
F
E
D
Diagram 11
7.2 cm
280
250
Q
P
R
[pic]
Diagram 10
Diagram 9
Diagram 5
9.2 cm
230
17.3 cm
M
K
L
Diagram 4
8.5 cm
460
6.9 cm
Q
P
R
Diagram 3
8 cm
420
11 cm
F
E
D
Diagram 2
9 cm
400
7 cm
M
K
L
9 cm
Diagram 1
14 cm
370
C
A
B
7.7 cm
Diagram 8
12.3 cm
550
Q
R
P
4.4 cm
Diagram 7
6.7 cm
340
F
D
E
Diagram 6
2.8 cm
250
4.2 cm
M
K
L
9 cm
Diagram 5
14 cm
1100
C
A
B
Diagram 4
13 cm
1300
10 cm
Q
P
R
Diagram 3
12.5 cm
430 24’
3.5 cm
F
E
D
Diagram 2
15 cm
500
9 cm
M
K
L
10 cm
Diagram 1
15 cm
600
C
B
To find unknown angles :
[pic]
To find unknown sides :
[pic]
A
[pic]
Diagram 5
[pic]
Diagram 6
D
E
F
600
350 16’
15 cm
Diagram 7
L
K
M
420
630
15 cm
Diagram 8
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- math practice test 2
- trig worksheet—right triangle applications
- right triangles and sohcahtoa finding the length of a side
- angles arc and measure
- find each numbered angle
- angles angles round a point on a straight line in a
- perpendicular bisectors of a triangle
- trig tutorial
- tajuk penyelesaian segitiga
- finding values on the calculator white plains public schools