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
Delicious77 [7]
2 years ago
10

Triangle MNO is an equilateral triangle with sides measuring 16 StartRoot 3 EndRoot units. Triangle M N O is an equilateral tria

ngle with sides measuring 16 StartRoot 3 EndRoot units. A perpendicular bisector is drawn from point N to point R on side M O splitting side M O into 2 equal parts. What is the height of the triangle? 12 units 24 units 36 units 72 units

Mathematics
2 answers:
Lesechka [4]2 years ago
6 0

Answer:

The correct option is second one i.e 24 units.

Therefore the height of the triangle is

NR=24\ units

Step-by-step explanation:

Given:

An equilateral triangle has all sides equal.

ΔMNO is an Equilateral Triangle with sides measuring,

NM = MO = ON =16\sqrt{3}

NR is perpendicular bisector to MO such that

MR=RO=\dfrac{MO}{2}=\dfrac{16\sqrt{3}}{2}=8\sqrt{3} .NR ⊥ Bisector.

To Find:

Height of the triangle = NR = ?

Solution :

Now we have a right angled triangle NRM at ∠R =90°,

So by applying Pythagoras theorem we get

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting the values we get

(MN)^{2} = (MR)^{2}+(NR)^{2}\\\\(16\sqrt{3})^{2}=(8\sqrt{3})^{2}+(NR)^{2}\\\\(NR)^{2}=768-192=576\\Square\ rooting\ we\ get\\NR=\sqrt{576}=24\ units

Therefore the height of the triangle is

NR=24\ units

Dvinal [7]2 years ago
6 0

Answer:

b 24

Step-by-step explanation:

You might be interested in
If -3 is a zero of f(x)= x^3+x^2-21x-45, find all of its zeros and their multiplicities
mr_godi [17]

Answer: the zeros are -3, -3 and 5

Multiplicity is 2

Step-by-step explanation:

5 0
3 years ago
Dylan is evaluating the expression 13 + 19 + 7 + 10. At one step in his work, Dylan rewrites the equation as 13 + 7 + 19 + 10. W
musickatia [10]

Answer:

1

Step-by-step explanation:

i am not sure but that is what i got.

7 0
3 years ago
Read 2 more answers
What is a mixed number for 5/2
m_a_m_a [10]

Answer: 2 1/2

Step-by-step explanation:  Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction. Hope this helps!! PLZ mark me!!!

8 0
3 years ago
A rectangular prism with a length of 14 meters, width of 5 meters, and height of 4.5 meters. A square pyramid with a base of 8 f
Lubov Fominskaja [6]

Answer:

315 and 128

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the measure of angle of 1?
Ludmilka [50]

Answer:

m<1 = 118

Step-by-step explanation:

The remote angles theorem states that when one extends one of the sides of a triangle, the sum of the two non-adjacent angles is equal to the measure of the angle between the extension of the side and a side of a triangle. One can apply this theorem here by stating that

(28) + (90) = m<1

Remember, a box around an angle signifies that its measure is (90) degrees.

Solve this problem by performing the operation,

118 = m<1

6 0
2 years ago
Other questions:
  • trey is taking out a loan for 85000. It is a 20 year load with an apr of 5.85% what will his monthly payment be?
    8·1 answer
  • 2x+3y=0 and x+2y=-1 <br> Solve by substitution
    8·1 answer
  • Which expression is equivalent to (m^8n^−4)^14 ?
    14·1 answer
  • The table shows values for functions f(x) and g(2)
    5·1 answer
  • Which inequality is the solution 5x-1&lt;29?
    12·2 answers
  • a local hamburger shop soda combined order of 497 hamburgers and cheeseburgers on Friday there was 53 fewer cheeseburgers sold t
    10·1 answer
  • Express the ratio $36 in 4 days as a ratio in its simplest form
    7·1 answer
  • What is 33.5 % as a Decimal and a fraction?
    9·2 answers
  • Please help<br> Picture inserted <br> Multiple choice <br> Will appreciate it if u help!
    9·1 answer
  • 3 fewer than a number squared and four
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!