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
Gemiola [76]
2 years ago
5

In right ∆ABC with m∠B=30°, AC = 4. Find AB, HB and Area of triangle ABC

Mathematics
2 answers:
alexdok [17]2 years ago
6 0

Answer:

hb=4√3

Step-by-step explanation:

iogann1982 [59]2 years ago
5 0

Answer:

AB = 8, HB = 6, Area of ∆ABC = 8\sqrt{3}, Perimeter of ∆ABC = 12 + 4\sqrt{3}

Step-by-step explanation:

To find AB:

∆ABC is an 30,60,90∆

Using the theorem, you can find AB = 2AC = 2*4 = 8

AB = 8

To find HB:

You need to find AH to subtract from AB

Construct CH, a perpendicular bisector to side AB

From before you can put together that m∠CAB = 60°

∆ACH is an 30,60,90∆

Using this method again, AH = AC/2 = 4/2 = 2

Then you subtract AH from AB = 8-2 = 6

HB = 6

To find the area of ∆ABC:

You use the (base*height)/2 method

base = AB = 8

to find the height, CH, you need to use the Pytha Theorem

and get AH^{2}+CH^{2}=AC^{2}

then substitute, and get 2^{2} + CH^{2} = 4^{2}

calculate and get CH = 2\sqrt{3}

then the height = CH =  2\sqrt{3}

solve the area and get

Area of ∆ABC = 8\sqrt{3}

(optional perimeter)

to find perimeter of ∆ABC:

you add AC + CB + AB

you find CB by using opposite to 30°

CB = CH*2 = 2\sqrt{3}*2 = 4\sqrt3}

so AC + CB + AB = 4 + 4\sqrt3} + 8

Perimeter of ∆ABC = 12 + 4\sqrt3}

Hope this helps!!

You might be interested in
Rob and Mike are selling cookie dough
SpyIntel [72]

The cost of one package of white chocolate chip cookie is $9 while the cost of one package of oatmeal cookie dough is $14.

<h3>What is an equation?</h3>

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the cost of white chocolate chip and y represent the cost of oatmeal dough, hence:

12x + 6y = 192   (1)

Also:

6x + 12y = 222    (2)

From both equations:

x = 9, y = 14

The cost of one package of white chocolate chip cookie is $9 while the cost of one package of oatmeal cookie dough is $14.

Find out more on equation at: brainly.com/question/2972832

3 0
2 years ago
Steve can complete the 100m dash in 10 seconds by Paul can run it in 12 seconds how does Steve's time compared to Paul's
Gwar [14]
Paul can run 10m per 1 second

Steve can run 8.333m per 1 second


4 0
3 years ago
Read 2 more answers
Henderson, North Carolina is above sea level. How would you describe this integer?
Klio2033 [76]

Answer:

positive

Step-by-step explanation:

because above sea level is good

7 0
2 years ago
Help find the surface area
zhenek [66]
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
8 0
3 years ago
Read 2 more answers
Find the values of x and y. <br> x + 7i = y − yi
lys-0071 [83]

Answer: X = y - yi - 7i

               Y = (x + 7i)/(1 - i)

Step-by-step explanation: for the case of (X) you only need to pass the 7i to the other side with the subtraction sign (-7i), then we get this equation:

x + 7i = y − yi

X = y - yi - 7i

in the case of the (Y), first we select the common multiple.

y - yi = y(1 - i)

if we replace it in the original expression, we get the following equation:

x + 7i = y(1 - i)

after that you can pass the value (1 - i) to the other side dividing,

Y = (x + 7i)/(1 - i)

6 0
3 years ago
Read 2 more answers
Other questions:
  • Use prime factors to find the LCM
    6·1 answer
  • A certain food has a gluten ratio of 13mg of gluten per L of the food what is the gluten ratio in micrograms per milliliter
    12·1 answer
  • Which quadrilateral is a kite?<br><br><br> HELP QUICKLY!!!!!!!!!!!!!!
    5·2 answers
  • Which expression can be used to convert 22 Australian dollars to US dollars
    5·1 answer
  • Please answer please
    9·1 answer
  • Use an addition sentence to help solve -30 -10
    11·2 answers
  • Is this correct answer
    8·2 answers
  • Y = f(x) = -3^x<br> Find fx) when x = 0.
    14·1 answer
  • A giant cube-shaped die measures 20 cm on a side. Find the volume of the die.​
    15·1 answer
  • 5. There are 8 sections of seats in an auditorium. Each section contains at least 150 seats but not more than 200 seats. Which o
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!