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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


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