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
Stolb23 [73]
3 years ago
11

There are two possible triangles with the measures given for triangle ABC. b = 20.2, c = 18.3, C = 38°

Mathematics
2 answers:
inna [77]3 years ago
7 0
Ok 
First use the sine rule to find one value

b / sin B = c / sin C
20.2 / sin B  =  18.3 / sin 38

sinB =  20.2 * sin 38  / 18.3   =  0.6796
m < B = 42.8 degrees

the other possible measure is 180 - 42.8 =  137.2 degrees
Daniel [21]3 years ago
6 0

Answer:

Two possible triangle:

  • a=29.3, b=20.2, c=18.3, A=99^{\circ}, B=43^{\circ}\text{ and } C=38^{\circ}
  • a=2.3, b=20.2, c=18.3, A=5^{\circ}, B=137^{\circ}\text{ and } C=38^{\circ}

Step-by-step explanation:

We are given some info about triangle ABC.

b=20.2, c=18.3, C=38°

Using sine law we can find another part of triangles.

\text{Sine law: } \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

Substitute b=20.2, c=18.3, C=38° into above formula and solve for B

\dfrac{20.2}{\sin B}=\dfrac{18.3}{\sin 38^{\circ}}

\sin B=\dfrac{20.2\times \sin 38^{\cic}}{18.3}

\sin B=0.6796

Two possible value of B

Case 1:

B=42.8^{\circ}\approx 43^{\circ}

A+B+C=180^{\circ}            (Angle sum property of triangle)

A=180^{\circ}-38^{\circ}-43^{\circ}=99^{\circ}  

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}

a=\dfrac{20.2\times \sin99^{\circ}}{\sin 43^{\circ}}\Rightarrow 29.3

Case 2:

B=137^{\circ}

A+B+C=180^{\circ}            (Angle sum property of triangle)

A=180^{\circ}-38^{\circ}-137^{\circ}=5^{\circ}  

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}

a=\dfrac{20.2\times \sin5^{\circ}}{\sin 137^{\circ}}\Rightarrow 2.3

Two possible triangle:

  • a=29.3, b=20.2, c=18.3, A=99^{\circ}, B=43^{\circ}\text{ and } C=38^{\circ}
  • a=2.3, b=20.2, c=18.3, A=5^{\circ}, B=137^{\circ}\text{ and } C=38^{\circ}

Thus, Two possible triangles.

You might be interested in
How do you do this i am lost
Jet001 [13]

Answer:

The solution is (-2, 4)

Step-by-step explanation:

When finding the solution of system of equations, you need to find where both lines intersect.

In the graph shown, the light purple and dark purple line meet at (-2, 4).

Hope this helps!!

8 0
3 years ago
After a holiday dinner there are 3 1/3 Apple pies left and 2 5/6 pumpkin pie left .
PtichkaEL [24]
In all poe ate 2/3 of the left overs
7 0
3 years ago
What are perfect numbers between 1 and 28
snow_lady [41]

Answer:

i was trying to help u but ok delete my answer

Step-by-step explanation:

5 0
3 years ago
Based on the above graph, in 2016, which occupation is projected to have about 2,500,000 more workers than there will be compute
Bingel [31]
The answer is A guys, I just took the test. Your Welcome (:
6 0
3 years ago
Read 2 more answers
Solve -6 (4-x) &lt;-4 (x + 1).<br> O A. x ≤2<br> B. x &gt; 3<br> OC. x &lt;3<br> OD. 2
emmainna [20.7K]

Answer:

A

Step-by-step explanation:

-6(4 - x) <= -4(x + 1)

-24 + 6x <= -4x - 4

-24 + 10x <= -4

10x <= 20

x <= 2

5 0
2 years ago
Other questions:
  • Students are going on a field
    12·1 answer
  • A store sells 4 cans of nuts for $7. How much would it cost you to buy 3 cans of nuts?
    12·1 answer
  • -7m - 4m + 2 + 5 = 7 - 3m - 8m
    15·1 answer
  • Need help from 12-15 pls ?
    11·1 answer
  • Given the sequence:<br> 25, 21, 17, 13,...<br> Write the explicit equation that models the sequence.
    7·1 answer
  • 1/2 pound : 5 days find the unit rate
    11·2 answers
  • Helpppppppp meeeeeeeeeeeeeeeeeeee
    12·1 answer
  • What are the coordinates of each point after quadrilateral ABCD is rotated 270° about the origin? Select numbers from the pull-d
    5·1 answer
  • Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
    11·1 answer
  • The 8th grade students at Great Lakes Middle School hold a bake sale to raise money for a class field trip at the end of the yea
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!