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
Oliga [24]
3 years ago
9

Triangle ABC is equilateral. Find the height of BD

Mathematics
1 answer:
RideAnS [48]3 years ago
3 0

Since ABC is equilateral, all 3 sides have equal length. side AC is 8 units since side BC is 8 units.

Line BD is placed in the middle, making D the midpoint of side AC.

knowing this information we can determine that the length of DC is 4 units (half of AC)

since triangle BDC is a right triangle, we can use the side lengths in the pythagorean theorem to find the length of BD

a²+b²=c² where a & b = legs of triangle , and c= hypotenuse (longest side)

we are given the hypotenuse and found one leg so we can plug our values into the equation to find the third

4² + b²= 8²

16 + b² = 64

b² = 48

b = \sqrt{48}

b= 4√3 or about 6.928 units

hope this helped

You might be interested in
Which expression shows the perimeter of the triangle in simplest form?
ankoles [38]

Answer:

D. 6x + 3

Step-by-step explanation:

A perimeter is just the sum of all sides of a shape.

First, write an equation to add all sides of the triangle:

(x + 4) + (3x - 2) + (2x + 1)

What is inside the parentheses is all already simplified. Also, it is addition, so the order in which we add does not matter. So, we can now get rid of the parentheses and combine like terms:

x + 3x + 2x + 4 -2 + 1

6x + 3

And that's our final answer: 6x + 3

I would appreciate brainliest, have an amazing day!

7 0
3 years ago
Carol makes 9 and one third cups of snack mix. She puts all of the snack mix into plastic bags. She puts two third cup of the sn
Hunter-Best [27]
9 1/3 / 2/3
9 1/3 = 28/3
28/3 / 2/3
28/3 x 3/2
84/6
14
she needs 14 bags
7 0
3 years ago
I WILL NO JOKE MARK BRAINIEST IF SOMEONE ACTUALLY ANSWERS THIS!
UkoKoshka [18]

You can see that the area of the blue rug is 2*2 or 4. The area of the rug needed to cover the stain will have to be 4*4 or 16. This means that the original rug will need to be dilated by 4 to cover the stain (4 (original) times 4 = 16 (new))

6 0
3 years ago
Find the value of x.<br> 133<br> 6 135<br> 137°<br> 139°
saveliy_v [14]

The sum of the angles of 4-sided shapes is 360°

To find the missing angle, you can do this:

x + 92° + 47° + 82° = 360°       Add 92, 47, and 82 together

x + 221° = 360°       Subtract 221 on both sides to get "x" by itself

x + 221° - 221° = 360° - 221°

x = 139°     Your answer is the 4th option

3 0
4 years ago
Read 2 more answers
A newsletter publisher believes that less than 25% of their readers own a Rolls Royce. For marketing purposes, a potential adver
nasty-shy [4]

Answer:

There is enough evidence at the 0.05 significance level that the percentage is less than 25%.

Step-by-step explanation:

<em>The question has no options. However, there are enough details to arrive at a conclusion.</em>

<em></em>

Required

What can we conclude about the claim of the publisher.

From the question, we understand that the null hypothesis is rejected.

In statistics, a hypothesis is rejected, if the level of significance is less than the required or determined value.

In this case, the determined value 25% and the level of significance is 0.05

<em>So, the conclusion on the claim is that there is enough evidence at the 0.05 significance level that the percentage is less than 25%.</em>

3 0
3 years ago
Other questions:
  • What is the degree and classification or the following <br><br> 8x^2y + 5xy
    5·2 answers
  • Suppose in one year, total revenues from digital sales of pop/rock, tropical (salsa/merengue/cumbia/bachata), and urban (reggaet
    5·1 answer
  • 1) What are the real zeroes of x3 + 6 x2 – 9x – 54?
    7·2 answers
  • For what values of a and b are x+1 and x+2 factors of x3 – ax2 – bx –8? Write down the other factor.
    14·1 answer
  • what is a problem that requires multiplying two decimals to find the answer?product must have two decimal places.
    13·1 answer
  • What is the difference of 3
    15·1 answer
  • Will give brainliest if right​
    14·1 answer
  • HELP HELP HELP HELP
    11·1 answer
  • There are 2 green pens, 3 blue pens, 4 red pens, and 1 black pen in the teachers desk. The teacher selects 2 pens at random, and
    14·1 answer
  • What is the greatest common factor of 6a²b3 + 15ab^5– 9a^3b^2??
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!