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
erastovalidia [21]
3 years ago
10

An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the

triangle is 6.9 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter.
Mathematics
1 answer:
sveticcg [70]3 years ago
6 0
<span>Based in the information given in the problem, you must apply the The Angle Bisector Theorem. Let's call the triangle: "ABC"; the internal bisector of the angle that divides its opposite side: "AP"; and "x": the longest and shortest possible lengths of the third side of the triangle.

 If BP= 6 cm and CP= 5 cm, we have:

 BP/CP = AB/AC

 We don't know if second side of the triangle (6.9 centimeters long) is AB or AC, so:

 1. If AB = 6.9 cm and AC = x:
 6/5 = 6.9/x
 x = (5x6.9)/6
 x = 5.80 cm

 2. If AC= 6.9 cm and AB= x:
 6/5 = x/6.9
 x = 6.9x6/5
 x = 8.30 cm

 Then, the answer is: 
 The longest possible length of the third side of the triangle is 8.30 cm and the and shortest length of it is 5.80 cm.</span>


You might be interested in
Cressida decided to save a part of her income in a savings account that compounds interest every four months. Her account balanc
Bogdan [553]

Answer:

A

Step-by-step explanation:

account balance on compound interest = principal amount (1+rate/100)^time

here there are t years  so toat months are 12t and ad interest is after each 4 months so time is 12t/4 =3t

now total balance = 3545(1.045)^3t

here 3545 is principal amount , rate is( 1.045-1)×100 =4.5% per 4 months and 3t is time so clearly 3t or 3 is a growth factor hence option A

8 0
3 years ago
Read 2 more answers
Juliana is x years old. Her sister is 2 years older than her. Her mother is 3 times as old as her sister. Her Uncle Rich is 5 ye
s2008m [1.1K]
X=Juliana's age
r=Rich's age

(x+2)+(x*3)+5=R

You can solve it from there
8 0
3 years ago
Read 2 more answers
Output all of the numbers and their squares between 1 and 10 using a do while loop
Naddik [55]
Write a program that uses while loops<span> to perform the following steps: a. ... </span>d. Output all<span> the </span>numbers and their squares between 1 and 10<span>. e.</span>
4 0
3 years ago
Write 12 1/3 as an improper fraction.
Julli [10]

Answer:

\frac{37}{3}

Step-by-step explanation:

12\frac{1}{3}

When converting mixed numbers (such as the one above), to improper fractions, we must first multiply the whole number by the denominator:

12*3=36

Then, add the numerator the the product:

36+1=37

Now, put the sum over the denominator to get your solution:

\frac{37}{3}

-

To check your work, you can convert the improper fraction to a mixed number to make sure you will end up with 12\frac{1}{3}.

Divide 37 into 3:

12 with a remainder of 1

Put the remainder over the denominator:

12\frac{1}{3}

Therefore, our solution is correct!

7 0
3 years ago
Read 2 more answers
Find the two numbers whose sum is 54 and whose difference is 4
galina1969 [7]

Answer:

25 and 29

Step-by-step explanation:

25 + 29 = 54 and there is a difference of 4 between them

4 0
3 years ago
Read 2 more answers
Other questions:
  • At 8:00 a.m., the temperature was −6°F. By noon, the temperature had risen by 9°F. What was the temperature at noon?
    6·1 answer
  • I'LL CHOOSE A BRAINLIEST PERSON!!!
    11·2 answers
  • PLEASE HELP! THIS IS DUE TOMORROW! Much appreciated.
    13·2 answers
  • Which of these expressions is equivalent to log (20 27)
    5·1 answer
  • A sock drawer contains eight navy blue socks and five black socks with no other socks. If you reach in the drawer and take two s
    14·1 answer
  • How much money should the company spend on marketing each month?​
    11·1 answer
  • If -2 and 3 are zeroes of quadratic polynomial xsquare + (a+1)x+b then find the value of and b
    12·1 answer
  • T-5 &gt;3(-2+t) <br> please help me
    10·1 answer
  • Given f(x)=4x+5 and g(x)= x^2+x; find (f∘g)(-5)<br> Please show all steps thank you
    6·1 answer
  • A triangle that has no sides of equal length and one angle greater than 90° is which type of triangle?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!