The option B [tex]\boxed{{\mathbf{10 units}}}[/tex] 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,
[tex]{h^2} = {p^2} + {b^2}[/tex]
Here, [tex]h[/tex] is the hypotenuse, [tex]p[/tex] is the perpendicular and [tex]b[/tex] is the base.
Step by step explanation:
Step 1:
It is observed from given figure that after joining the points [tex]A,B{\text{ and C}}[/tex] 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 [tex]A{\text{ and }}C[/tex] and 6 boxes between the point [tex]A{\text{ and B}}[/tex].
Therefore, the base of the triangle [tex]AC[/tex] is [tex]{\text{8 units}}[/tex] and the perpendicular of the triangle [tex]AB[/tex] is [tex]{\text{8 units}}[/tex].
Step 2:
Now use the Pythagoras theorem to find the distance between [tex]B{\text{ and }}C[/tex].
The distance between [tex]B{\text{ and }}C[/tex] is the length of the hypotenuse of the triangle [tex]ABC[/tex].
The length of the hypotenuse [tex]BC[/tex] can be calculated as,
[tex]\begin{aligned}{h^2}&= {p^2} + {b^2}\\{h^2}&= {6^2} + {8^2}\\{h^2} &= 100\\h&= 10\\\end{aligned}[/tex]
Therefore, the distance between [tex]B{\text{ and }}C[/tex] is 10 units.
Thus, option B 10 units is correct.
Learn more:
- Learn more about the function is graphed below https://brainly.com/question/9590016
- Learn more about the symmetry for a function https://brainly.com/question/1286775
- Learn more about midpoint of the segment https://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,
