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
soldi70 [24.7K]
3 years ago
13

an angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5cm 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
2 answers:
cricket20 [7]3 years ago
5 0

Answer:

Proportions In Triangles Quiz Connexus

1. A.) UVW~UWT~WVT

2.) A.) a= 9/2, b=15/2

3.) A.) 5

4.) A.) 46 2/3 yards

5.) D.) 8.3 cm, 5.8 cm

These are correct i got a 100% Have A Blessed Day

Step-by-step explanation:

rodikova [14]3 years ago
4 0
There is a not so well-known theorem that solves this problem.

The theorem is stated as follows:
"Each angle bisector of a triangle divides the opposite side into segments proportional in length to the adjacent sides"  (Coxeter & Greitzer)

This means that for a triangle ABC, where angle A has a bisector AD such that D is on the side BC, then 
BD/DC=AB/AC

Here either
BD/DC=6/5=AB/AC, where  AB=6.9,  
then we solve for  AC=AB*5/6=5.75,

or

BD/DC=6/5=AB/AC, where  AC=6.9,  
then we solve for AB=AC*6/5=8.28

Hence, the longest and shortest possible lengths of the third side are
8.28 and 5.75 units respectively.

You might be interested in
The sum of two numbers is 5.036. One number has a 4 in the tenths place and a 7 in the thousandths place. The other number has a
Nikitich [7]
3.407
1.629
These make 5.036.
5 0
3 years ago
As a salesperson, you are paid $50 per week plus $2 per sale. This week you want your pay to be at least $100. What is the minim
Georgia [21]
50+2x=100
-50       -50(subtract 50 from both sides)
       2x=50 (divide both sides by 2)
        x=25
8 0
3 years ago
Read 2 more answers
I really need this one answered, I just can’t figure it out.
Katena32 [7]
25.2 divided by 4.2 =6
4 0
3 years ago
What is the point slope of an equation with slope of 3/5 that passes through the point (10,-2)
Verdich [7]
The answer would be B. It gives you the slope and a point on the graph so use that to your advantage. All of the answers show the slope and the slope in the right place, so for now it can be any of them. Then we get to the point (10,-2). For point slope form you would switch the signs for both x and y. So the Y would now be +2 and x would be -10. Y goes together with y, and X goes together with x. In this case y+-y= slope(X+-x) Substitute in for them. Y+2=3/5(X-10)
4 0
3 years ago
Read 2 more answers
Please Help!!!!!! it's due this morning
zhuklara [117]

Answer:

Check the solution in both equations. The solution is ( − 1, 2). Solve the system by graphing: {− x + y = 12 x + y = 10 . Solve the system by graphing: {2x + y = 6 x + y = 1 . In all the systems of linear equations so far, the lines intersected and the solution was one point.

Hope it helps!!!

6 0
3 years ago
Other questions:
  • Solve for x in the diagram.<br><br><br><br>       A. 25   B. 37   C. 15   D. 14
    12·2 answers
  • Which value is equivalent to the expression 32 × 33?
    11·1 answer
  • A scale model of a building is 2 inches tall. If the building is 24 feet tall, find the scale of the model. a. 1in: 20ft c. 2 in
    10·2 answers
  • sharon serves the volleyball to rhonda with an upward velocity of 18.5 ft/s. The ball is 4.5 feet above the ground when she stri
    14·1 answer
  • What must an observer use in order to make observations
    8·1 answer
  • Use the given conditions to write an equations for the line in slope- intercept form. passing through (1,-8) and (-7,8)
    7·1 answer
  • Someone help with this ?
    6·1 answer
  • Helppp!!!!!! :(((((((((((((((((((((((((((((
    7·1 answer
  • Two boxes sit on a desk. One has 5 pencils that are yellow, blue, red, green, and brown. The other box
    8·2 answers
  • You travel 90 miles in 1.5 hours. find the speed you travel.​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!