1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NeX [460]
3 years ago
12

In triangle ABC, AB=c, BC=a, CA=b

Mathematics
1 answer:
quester [9]3 years ago
7 0

Answer:

Step-by-step explanation:

Correct option is

B

AE  

2

=  

9

73

​  

 

C

tanθ=  

8

3

​  

 

Hence

BD=DE=EC=  

3

5

​  

 and △ABC is a right angled triangle.

Now  

cosC=  

2.AC.EC

AC  

2

+EC  

2

−AE  

2

 

​  

 

Or  

AE  

2

=AC  

2

+EC  

2

−2.AC.EC.cosC

Or

=4  

2

+(  

3

5

​  

)  

2

−2.8.  

3

5

​  

.cosC

=16+  

9

25

​  

−  

3

2×4×5

​  

.  

5

4

​  

 

Or

=  

9

169

​  

−  

3

32

​  

 

=  

9

169−96

​  

 

=  

9

73

​  

.

Hence

AE  

2

=  

9

73

​  

.

cosθ=  

2.AE.4

AE  

2

+4  

2

−  

3

5

​  

 

2

 

​  

 

=  

73

​  

 

8

​  

.

Hence

secθ=  

8

73

​  

 

​  

 

Now  

tanθ=  

sec  

2

θ−1

​  

 

=  

64

73

​  

−1

​  

 

=  

8

3

​  

.

solution

Expand-image

Correct option is

B

AE  

2

=  

9

73

​  

 

C

tanθ=  

8

3

​  

 

Hence

BD=DE=EC=  

3

5

​  

 and △ABC is a right angled triangle.

Now  

cosC=  

2.AC.EC

AC  

2

+EC  

2

−AE  

2

 

​  

 

Or  

AE  

2

=AC  

2

+EC  

2

−2.AC.EC.cosC

Or

=4  

2

+(  

3

5

​  

)  

2

−2.8.  

3

5

​  

.cosC

=16+  

9

25

​  

−  

3

2×4×5

​  

.  

5

4

​  

 

Or

=  

9

169

​  

−  

3

32

​  

 

=  

9

169−96

​  

 

=  

9

73

​  

.

Hence

AE  

2

=  

9

73

​  

.

cosθ=  

2.AE.4

AE  

2

+4  

2

−  

3

5

​  

 

2

 

​  

 

=  

73

​  

 

8

​  

.

Hence

secθ=  

8

73

​  

 

​  

 

Now  

tanθ=  

sec  

2

θ−1

​  

 

=  

64

73

​  

−1

​  

 

=  

8

3

​  

 

solution

Expand-image

You might be interested in
Which of the following investments could be represented by the function A = 250(1 + 0.08/12)12 × 4?
Alekssandra [29.7K]

hello,

the first term is 250 so this is the initial invested amount

(1+\dfrac{0.08}{12})^{12}=(1+\dfrac{8\%}{12})^{12}

is to compute 8% annual interest compounded monthly (there are 12 months in a year)

and then multiply by 4 means that it is computed for 4 years so

finally the answer is

$250 is invested at 8% annual interest compounded monthly for 4 years

hope this helps

7 0
3 years ago
What is the quadratic formula
LUCKY_DIMON [66]

Answer:

x = -b +or- the square root of (b^2-4ac) ALL / 2a

sing to "pop goes the weasel" lol

7 0
3 years ago
Read 2 more answers
Are these three correct? (4,7 and 17.)
Helga [31]
Nine pairs is the answer
6 0
3 years ago
M= 2²×3×5² N=2³×3²×7<br>find the largest Number that divides exactly into M and N​
nevsk [136]

Answer:

12

Step-by-step explanation:

just find the HCF, which will be

2² × 3 = 12

5 0
2 years ago
Solve 41-9+(8×2.3)-15+(2.1×4)
dsp73
(8x2.3)= (18.4)
(2.1x4)= (8.4)
Now you should have:
41-9+18.4-15+8.4
9+18= 27
15+8.4= 23.4
Should have:
41-27-23.4= -9.4
6 0
3 years ago
Other questions:
  • What is the midpoint of the segment shown below
    10·2 answers
  • Find the sum or difference
    6·2 answers
  • Saul in third in line. Enid is last in line. There are 3 children between them. What position is Enid in line?
    7·1 answer
  • Does 7-2 = 2-7 ? explain why or why not.
    5·1 answer
  • The students at Linda's school voted for a new school cooler. 144 students voted for green. If there are 160 students in Linda's
    5·1 answer
  • Josiah baked 24 cookies. He gave 1/6 of them to his family before he took them to his friend's house. How many cookies did he gi
    5·2 answers
  • Is x greater than, less than, or equal to 151°
    5·2 answers
  • I need to pass so yk help​
    11·1 answer
  • The sum of two numbers is 58. The difference between the same two numbers is 6. Find the two numbers, and then find the PRODUCT
    13·1 answer
  • PLEASE I NEED HELP CLICK ON THIS IMAGE
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!