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
Deffense [45]
3 years ago
12

If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.

Mathematics
1 answer:
harina [27]3 years ago
3 0

Answer:

Perimeter = 38.6

Step-by-step explanation:

Given

A\ B = 13

B\ F = 9

F\ C = 5.6

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

Perimeter = A B + B\ C + A\ C

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

B\ C^2 = B\ F^2 + F\ C^2

Substitute values for BF and FC;

B\ C^2 = 9^2 + 5.6^2

B\ C^2 = 81 + 31.36

B\ C^2 = 112.36

B\ C^2= \sqrt{112.36

B\ C = 10.6

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

A\ B^2 = B\ F^2 + A\ F^2

Substitute values for B F and A B;

13^2 = 9^2 + A\ F^2

169= 81 + A\ F^2

A\ F^2 = 169 - 81

A\ F^2 = 88

A\ F = \sqrt{88

A\ F = 9.4

Since F lies on line A C:

A\ C = A\ F + F\ C

A\ C = 9.4 + 5.6

A\ C = 15.0

Recall that:

Perimeter = A\ B + B\ C + A\ C

Perimeter = 13 + 10.6 + 15.0

Perimeter = 38.6

<em>Hence, the perimeter is 38.6</em>

You might be interested in
. Yesterday you wanted to make an enormous batch of rolls, so you borrowed some special yeast from your aunt's top-secret bread
Cloud [144]

Answer:

at 6:06

Step-by-step explanation:

since it took 13 to be half full just add an extra 13 minutes.   5:53+ 13 minutes= 6:06

8 0
2 years ago
Solve the equation for the indicated variable. SHOW ALL WORK! <br><br> ab-ac=2 solve for a
Juli2301 [7.4K]

Answer:

a= 2/b-c

Step-by-step explanation:

We want isolate for a or to be itself

ab-ac=2

factor out a

a (b-c)=2

Now bring b-c to the other side

a (b-c)/(b-c)=2/b-c

The b-c cancel each other out

a= 2/(b-c)

5 0
3 years ago
• A rational number is such that when you multiply it by
Tatiana [17]

Answer:

The number is -1/2.

Step-by-step explanation:

I am assuming they are fractions. So we have the equation:

5/2 x + 2/3 = -7/12

We multiply through by 12 to eliminate the fractions:

5/2 * 12 x + 2/3 * 12 = -7/12 * 12

30x + 8 = -7

30x = -15

x =  -15/30

x = -1/2.

7 0
3 years ago
You spent 1/5 of your birthday money on 2 video games. If each video game cost the same amount, what fraction of your birthday m
Elza [17]

Answer:

  • 1/10

Step-by-step explanation:

Let total money be m

Then, the money spent on 2 video games is 1/5m

<u>Each game costs:</u>

  • 1/5m ÷ 2 =
  • 1/10m

So each video game costs 1/10 of birthday money

4 0
3 years ago
Read 2 more answers
Need help with 1st onr
guajiro [1.7K]

Answer:

-11x + 2

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • The time a randomly selected individual waits for an elevator in an office building has a uniform distribution with a mean of 0.
    13·1 answer
  • Draw a quick picture 143 divided by 11 equals 13
    5·1 answer
  • Please Help!!! Surface Area of a ball!!! Extra points and brainiest will be given!!!!!
    14·1 answer
  • Simplify the following expression 6X2 plus 8X -3 minus 3X2-6
    14·1 answer
  • Somebody HELP NOWWW
    8·1 answer
  • carol is making baby blankets for her daughters twins. If one blanket needs 43/4 yd of fabric, how much fabric does carol need f
    7·1 answer
  • Find the 64th term of the following arithmetic sequence .<br><br> 12,19,26,33 ...
    9·1 answer
  • What is the solution to the system of equations in the graph below?
    10·2 answers
  • Cool scoops ice cream shop offers 60 different one topping sundaes. If there are different flavors of ice cream toppings and con
    12·1 answer
  • Jay works two jobs, at a daycare center and at a grocery store. The number of hours he works at the grocery store is twice the n
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!