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
Pani-rosa [81]
3 years ago
10

Apply the Pythagorean Theorem to find the distance between points B and C.

Mathematics
2 answers:
lys-0071 [83]3 years ago
6 0

The option B \boxed{{\mathbf{10 units}}} is correct.

Further explanation:

The PythagoreanTheorem is used in the right angle triangle and it states that the square of the hypotenuse is equal to the sum of the squares of the perpendicular and base.

It can be mathematically expressed as,

{h^2} = {p^2} + {b^2}  

Here, h is the hypotenuse, p is the perpendicular and b is the base.

Step by step explanation:

Step 1:

It is observed from given figure that after joining the points A,B{\text{ and C}} it is established as right angle triangle.

First determine the perpendicular and the base of the triangle.

It can be seen that there are 8 boxes between the point A{\text{ and }}C and 6 boxes between the point A{\text{ and B}}.

Therefore, the base of the triangle AC is {\text{8 units}} and the perpendicular of the triangle AB is {\text{8 units}}.

Step 2:

Now use the Pythagoras theorem to find the distance between B{\text{ and }}C.

The distance between B{\text{ and }}C is the length of the hypotenuse of the triangle ABC.

The length of the hypotenuse BC can be calculated as,

\begin{aligned}{h^2}&= {p^2} + {b^2}\\{h^2}&= {6^2} + {8^2}\\{h^2} &= 100\\h&= 10\\\end{aligned}  

Therefore, the distance between B{\text{ and }}C is 10 units.  

Thus, option B 10 units is correct.

Learn more:  

  1. Learn more about the function is graphed below brainly.com/question/9590016
  2. Learn more about the symmetry for a function brainly.com/question/1286775
  3. Learn more about midpoint of the segment brainly.com/question/3269852

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Pythagoras theorem.

Keywords: Distance, Pythagoras theorem, points, base, perpendicular, hypotenuse, right angle triangle, boxes, units, squares, sum,  

Lyrx [107]3 years ago
3 0

10 units

6^+8^=X^

36+64=x^

100=x^

10=x


You might be interested in
359 +314=<br><img src="https://tex.z-dn.net/?f=359%20%2B%20314" id="TexFormula1" title="359 + 314" alt="359 + 314" align="absmid
vlabodo [156]
The correct answer is 673
9+4= 13
5 turns into a 6 so it’s 6+1 = 7
3+3 = 9
6 0
3 years ago
Tomic and Brooke make a game of shooting free throws. Each basket is worth 2.5 point.Each miss is worth - 0.75 points.Out of 30
Anit [1.1K]
They would have 29.5 point
3 0
3 years ago
Read 2 more answers
What is the volume of a rectangle with a height of 7 units a width of 5 units and a length of 8 units
skad [1K]

Answer:

None of the above.

Step-by-step explanation:

7 × 5 × 8 = 280 cubic units


I hope I helped you.

4 0
3 years ago
Ratio equivalent to 1:3
Margaret [11]

2:6

3:9

4:12

These are all equivilant

4 0
3 years ago
Read 2 more answers
Henry wants to paint the ceilings and the walls of his living room. One gallon of paint covers 450 ft squared. The rooms is 24 f
Mamont248 [21]
If you would like to know how many gallons of paint will Henry need to paint his living room, you can calculate this using the following steps:

the ceiling: 24 ft * 18 ft = 432 ft squared
walls: 2 * 24 ft * 9 ft + 2 * 18 ft * 9 ft = 2 * 24 * 9 + 2 * 18 * 9 = 432 + 324 = 756 ft squared

432 ft squared + 756 ft squared = 1188 ft squared

1 gallon of paint ... 450 ft squared
x gallons of paint = ? ... 1188 ft squared

1 * 1188 = 450 * x
1188 = 450 * x    /450
x = 1188 / 450
x = 2.64 gallons of paint

The correct result would be 2.64 gallons of paint.
6 0
3 years ago
Other questions:
  • A researcher randomly surveyed a sample of high school students in a town to find out which career area they were most intereste
    11·2 answers
  • The cooking time for a ham is 2/5 of an hour for each pound - how long should you cook a ham that weighs 12 3/4 pounds?
    7·1 answer
  • Complete the square and then find the center and radius from the circle equation
    7·2 answers
  • Suppose y varies directly with x. If y = –20 when x = 2, find y when x = 14
    6·2 answers
  • Find the midpoint between (-1+9i) and B=(5-3i)
    9·2 answers
  • At Gulfport Electronics, Randy earns a monthly salary of $1500 plus a 5% commission of x, his total monthly sales. If his March
    8·2 answers
  • N•6 as a verbal expression
    8·1 answer
  • Help!!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
  • Oanna earns $10 per hour at her job. Last week, Joanna earned $400.
    7·2 answers
  • The functions f(x) = (x + 5)^2 + 2 and g(x) = -(x − 3)^2−3 have been rewritten using the completing-the-square method. Is the ve
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!