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
tankabanditka [31]
2 years ago
14

triangle ABC is Isosceles CA and CB are equal AB is parallels to the x- axis. Work out the coordinate of A. Given that BC=5cm wo

rk out the perimeter of the triangle

Mathematics
1 answer:
BabaBlast [244]2 years ago
8 0

Answer:

The perimeter of the triangle ABC is 17 cm.

Step-by-step explanation:

Consider the Isosceles triangle ABC.

The sides CA and CB are equal with measures, 5 cm.

The base angles are assumed to be <em>x</em>° each. Hence, the angle ACB is 2<em>x</em>°.

The altitude CP divides the base AB into two equal halves and the angle ACB is also cut into halves.

Consider the right angled triangle ACP.

The sum of all the angles in a triangle is 180°.

Determine the value of <em>x</em> as follows:

<em>x</em>° + <em>x</em>° + 90° = 180°

2<em>x</em>° = 90°

<em>x</em>° = 45°

Compute the length of side AP as follows:

cos\ 45^{0}=\frac{AP}{CA}

      \frac{1}{\sqrt{2}}=\frac{AP}{5}

     AP =\frac{5}{\sqrt{2}}\\\\AP=3.5

Then the length of side AB is:

AB = AP + PB

     = 3.5 + 3.5

     = 7 cm

The perimeter of triangle ABC is:

Perimeter = AB + CA + CB

                = 7 + 5 + 5

                = 17

Thus, the perimeter of the triangle ABC is 17 cm.

You might be interested in
Three hikers equally shared One-half gallon of water. Explain how you would use an area model to find the amount of water each h
givi [52]

Answer:

1/6 gallon of water

Step-by-step explanation:

Number of hikers = 3

Quantity of water shared = 1/2 gallon of water

If the water was shared equally among the hikers, then,

Amount of water each hiker drank = Quantity of water shared ÷ Number of hikers

= 1/2 ÷ 3

Multiply 1/6 by the reciprocal of 3

The reciprocal of 3 = 1/3

1/2 ÷ 3

= 1/2 × 1/3

= (1 * 1) / (2 * 3)

= 1/6

Amount of water each hiker drank = 1/6 gallon of water

7 0
2 years ago
Graph these equations: x+2y=6, y=-1/2x+4 How many solutions does the system of equations have?
inysia [295]

Answer:

The system has no solution

Step-by-step explanation:

we have

x+2y=6

Isolate the variable y

2y=-x+6

Divide by 2 both sides

y=-\frac{x}{2}+3 ---> equation A

y=-\frac{x}{2}+4 ---> equation B

Compare the equations

Equation A and equation B have the same slope and different y-intercept

Remember that

If two lines have the same slope, then the lines are parallel

The solution of the system is the intersection point both graphs

In this problem, the lines don't intersect, therefore, the system has no solution

using a graphing tool

The graph in the attached figure

7 0
3 years ago
1. Write an expression for 8 less than 2<br> times a number.
Nuetrik [128]

Answer:

8<2x

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the answer to -5/8x+1/4=1/8
natali 33 [55]

Answer:B

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Plz help i will give brainliest
Drupady [299]
The top question is y=2x+6
the bottom question is y=5/2x-6
4 0
2 years ago
Other questions:
  • Select the correct answer. 50 points better hurry and brainlyest for the one that answers first
    5·2 answers
  • How do you solve the expression for this problem r/.45=19.
    6·1 answer
  • What is 53 divided by 30?
    15·2 answers
  • Help me solve the equation please. Thank you so much
    13·1 answer
  • Please help algebra II
    9·1 answer
  • ?
    9·1 answer
  • Which equation represents the given statement "Eight times a number minus 2 equals 33
    5·1 answer
  • What is the answer to the question?​
    10·2 answers
  • Three vans can carry<br> 18 adults. How many<br> adults are in 7 vans?
    12·2 answers
  • If 60 people were surveyed, how many of them would chose an SUV as their preferred vehicle?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!