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
kow [346]
1 year ago
8

Given that line CD is a perpendicular bisector of triangle ABC, if side AB has a length of 11 and side AC has a length of 14 wha

t is the length of side CD? Write your answer to the
nearest hundredth

Mathematics
1 answer:
nalin [4]1 year ago
4 0

Answer:

12.87

Step-by-step explanation:

Since we know that line CD is a perpendicular bisector, triangle ACD is a right triangle, and thus we can apply the Pythagorean theorem to determine the length of side CD. Since the Pythagorean theorem states that a^2 + b^2 = c^2, where c is the hypotenuse and a and b are the adjacent sides, we can plug in the values of side AD and AC.

As side CD is the bisector of side AB, sides AD and DB are both half the length of side AB, so:
AD = 11/2
AD = 5.5

We now know two values of our equation, and thus we can solve for the missing third value.

5.5^2 + b^2 = 14^2
14^2 - 5.5^2 = b^2
196 - 30.25 = b^2
165.75 = b^2
\sqrt{165.75} = b
b = 12.87

You might be interested in
Hey lads could you please check out my channel on you.tube please leave a like and subscribe it would help a lot much love stay
Sergio039 [100]

Answer:

yes if u give points lol

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Round 656.692169912 to 1 decimal place. I am so confused.
artcher [175]

You would round it to 656.70 because the 9 behind the 6 is greater than 5 so it rounds up and makes 6 and 7 and all the numbers behind 6 zero.

8 0
3 years ago
Read 2 more answers
Please I need help I was in the hospital just need 1,3,5,7,9 simplified
Tju [1.3M]
#1 is 125
#3 is 1/2
#5 is the same as the question
#7 is 5p^3 over 3
#9 is 4/5
3 0
3 years ago
Given <2 and <4 are the vertical angels. Prove <2≅ <4
koban [17]

Answer:

Angle 2 = Angle 4 ( vertically opposite angles)

5 0
3 years ago
In my town, gas prices are always listed to the thousandths place. Since the smallest coin we have is the penny, we have to roun
AlladinOne [14]

Answer:

$8.16

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Is the square root of 3 irrational or rational ?
    6·1 answer
  • Luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice. She gives 5/8 cup of the juice to Mags.How much is left in L
    5·2 answers
  • 35% of what number is 42? with showing work please!
    6·2 answers
  • Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in the variability in the number of rooms oc
    14·1 answer
  • What two consecutive numbers lie between the square root of 37
    8·2 answers
  • Plsss i need help boys and girls lol FRL :)
    6·1 answer
  • HELP PLS RIGHT NOWWW<br><br> For Exercise 38, find each length.<br><br> 38. AC
    13·1 answer
  • Can someone help me?
    13·2 answers
  • As you can see I NEED HELP RIGHT NOW!
    14·2 answers
  • 9. If the parent function is y = 2*, which is the function of the graph?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!