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
Elis [28]
3 years ago
6

Find all the missing parts to the triangle below

Mathematics
2 answers:
blsea [12.9K]3 years ago
7 0
<h2>Answer:</h2>

We have:

  •     f=31 units
  •     m∠G=64°
  •     m∠H=29°
<h2>Step-by-step explanation:</h2>

We are given angle F as:

m∠GF=87°

Now, g=28 and h=15 we are asked to find f.

Using the law of cosines we have:

f^2=g^2+h^2-2gh\cos F\\\\f^2=(28)^2+(15)^2-2\times 28\times 15\cos (87)\\\\\\f^2=965.037796\\\\f=31.065

which is approximately equal to 31 units

Hence, f=31 units

Also,

g^2=f^2+h^2-2fh\cos G\\\\\\28^2=15^2+31^2-2\times 15\times 31\times \cos G\\\\\\\cos G=0.4322\\\\G=\arccos 0.4322\\\\\\G=64.392

Hence, to the nearest degree we get:

m∠G=64°

Also, we know that the sum of all the angles of a triangle is 180°

Hence,

m∠F+m∠G+m∠H=180°

i.e.

87°+64+m∠H=180°

m∠H=29°

Arada [10]3 years ago
3 0
Use Law of Cosines                             g^2 = f^2 + h^2 -2fhCosG                     f^2 = g^2 + h^2 -2ghCosF                    h^2 = f^2 + g^2 -2fgCosH

f^2 = 28^2 + 15^2 -2*28*15Cos87        28^2 = 31^2 + 15^2 -2*31*15CosG 
f^2 = 784 + 225 - 43.96                        784 = 961+225 - 930CosG 
f^2 = 965.0378                                    784 - 1186 = -930CosG
f = 31                                                 -402 = -930CosG             Divide by -930
                                                           .432258 = CosG
                                                           Cos^-1(.432258) = G
                                                             G = 64 degrees

Angle H = 180 - 64 - 87 = 29 degrees

Side f =   31                     Angle F =  87 degrees
Side g =  28                     Angle G = 64 degrees
Side h =  15                     Angle H =29  degrees
You might be interested in
Danny had $116 to spend on nine books. After buying them he had $72 left. How much did each book cost?
alexdok [17]
$4.89
- First subtract 116-72
-then divide that answer by nine
-round 
8 0
3 years ago
Read 2 more answers
Please help on this one &lt;3
Katena32 [7]

I think it helps to put it into an algebraic equation first:

14 + <em>n</em> = 25

Now we need to find the graph that matches it. The answer is D, since it represents our equation.

7 0
3 years ago
What is the difference between the absolute value of -8 and the absolute value of 6<br>​
vodka [1.7K]

Answer:

2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Help ???????????????????????
Likurg_2 [28]

Answer:

I dont remember how to do this but i wish you luck, try searching on khan academy for how to do this ;)

Step-by-step explanation:

5 0
3 years ago
The following figures are not drawn to scale but AB and CD are straight lines. Find x.
Paladinen [302]

Answer:

x=30 because if you look across from x the angle is 30 degrees.

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Please help me out, i'll award brainliest to the most informative answer.
    14·1 answer
  • In paralelleogram ABCD, diagnosis AC and BD intersect at point E, BE=X2-40 and DE= 6x. What is BD? ​
    15·1 answer
  • Which of the following inequalities represents a number why that is less than four but greater than -1
    5·1 answer
  • The bear population of yellowstone national park goes from 230 bear to 300 bears. What is the percent of change?
    10·2 answers
  • PLEASE HELP THIS IS URGENT&gt;&gt;&gt;&gt;NO LINKS!!
    15·1 answer
  • Find the equation that can represent the situation if the sum of two numbers is 32. We also know that the greater number is 5 mo
    8·1 answer
  • 12) The distance between Happyville and Giggleland is 66 miles. How far is this in kilometers?
    9·1 answer
  • 12. Find the differential coefficient of (x2+7) (x2+10)​
    8·1 answer
  • Find the slope intercept form of the line whose slope is 2 and passes through the point (-7,10)
    10·1 answer
  • I'm not very good at solving these problems
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!