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
Square root of 82 rounded to 0.05
Oksanka [162]
I believe it's 9.1 Hope this helps :)
7 0
3 years ago
The value of q is:<br><br> A. 42.<br> B. 39.<br> C. 40.
saw5 [17]

Answer:

40

Step-by-step explanation:

Its pretty easy i did that on a test and got a 100

5 0
2 years ago
Graph the line with slope -2/3<br> passing through the point (-4,5).
ELEN [110]

Answer:

graph this equation

y = -2/3x 7/3

Step-by-step explanation:

y-5=-2/3(x--4)

y-5 = -2/3x - 8/3

y = -2/3x 7/3

4 0
2 years ago
And 1. if a person bought 1 share of google stock within the last year, what is the probability that the stock on that day close
ElenaW [278]
.5
The graph would be bell shaped. So the odds are 50/50
6 0
3 years ago
The area of a circle is 28.26 square kilometers. What is the circles diameter
irinina [24]

Answer:

6km

Step-by-step explanation:

Area of circle = πr²

Where r = radius,  π= 3.14, A = 28.26km²

A = 3.14 x r²

3.14 r2 = 28.26

Divide both sides by 3.14

r²= 28.26/3.14

r² = 9

Square root both sides

r= √9

r= 3

Radius = 3km

Note : Diameter = 2 x radius

Diameter = 3 x 2

Diameter = 6km

I hope this was helpful, Please mark as brainliest.

7 0
3 years ago
Other questions:
  • Jerry is making trail mix for his camping trip. He had 200 grams of peanuts, 350 grams of raisins, and 735 grams of pretzels. He
    14·1 answer
  • The Aon Centre in Chicago,Illinois is one of the tallest buildings.built in1973
    15·1 answer
  • Julio is paid 1.4 times is normal hourly rate for each hour he works over 32 hours a week last week he worked 43 hours and earne
    9·1 answer
  • 2/5+1/2 <br>PLEASE HELP ME
    9·2 answers
  • Joey has 25 candy bars and is addin 2 candy bars to his collection each day. How many days will it take him to reach 51 candy ba
    9·1 answer
  • The population of a city is expected to increase by 7.5% next year. If p represents the current population, which expression rep
    12·2 answers
  • Andre says that x is 7 becuase he can move the two 1s with the x to the other side. True or false
    12·1 answer
  • Correct answers only please!
    10·1 answer
  • A 5-pound bag of cat food costs $11.25.What is the unit price of the cat food in dollars per pound?
    9·2 answers
  • What percent of 0.2 gram of 32 mg
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!