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Given radius and chord length. What is the height of arc to midpoint of chord?
Draw the circle O, and the chord AB. From the center, draw the radius OC which passes though the midpoint, D, of AB. Since the radius OC bisects the chord AB, it is perpendicular to AB. So that CD is the required height, whose length equals to the difference of the length of the radius OC and the length of its part OD. Draw the radius OA and OB. So that OD is the median and the height of the isosceles triangle AOB, whose length equals to √(r2 - AB2/4) (by the Pythagorean theorem). Thus, the length of CD equals to r - √(r2 - AB2/4).
What is a characteristic of a perpendicular bisector?
Given a straight line joining the points A and B, the perpendicular bisector is a straight line that passes through the mid-point of AB and is perpendicular to AB.
What is the answer for construct a line through X parallel to AB in geometric constructions?
answerDraw two lines of equal lengths perpendicular to AB on the same side of AB and extend the line formed by joining the two end points of the two perpendicular lines which does not line on the line AB.
If a (0 0) and b (8 2) what is the length of ab?
The length of ab can be found by using the Pythagorean theorem. The length of ab is equal to the square root of (0-8)^2 + (0-2)^2 which is equal to the square root of 68. Therefore, the length of ab is equal to 8.24.
Top polygons abcd and efgh are similarfind the length of ab the length of fe is 15 and ab and fe are similar?
12
OC Is perpendicular to AB. What is the length of?
is perpendicular to . What is the length of ? A. 12.9 units B. 4.3 units C. 2.15 units D. 8.6 units
Given radius and chord length. What is the height of arc to midpoint of chord?
Draw the circle O, and the chord AB. From the center, draw the radius OC which passes though the midpoint, D, of AB. Since the radius OC bisects the chord AB, it is perpendicular to AB. So that CD is the required height, whose length equals to the difference of the length of the radius OC and the length of its part OD. Draw the radius OA and OB. So that OD is the median and the height of the isosceles triangle AOB, whose length equals to √(r2 - AB2/4) (by the Pythagorean theorem). Thus, the length of CD equals to r - √(r2 - AB2/4).
The distance from a point C to the line AB is the length of the segment from C to AB?
That is correct. The distance from a point C to a line AB is the length of the perpendicular segment drawn from point C to line AB. This forms a right angle, creating a right triangle with the segment as the hypotenuse. The length of this perpendicular segment is the shortest distance from the point to the line.
To find the distance from a point C to the line AB you must find the length of the segment from C to AB?
perpendicular
What is a perpendicular bisector of a line segment?
The perpendicular bisector of a line segment AB is the straight line perpendicular to AB through the midpoint of AB.
The length of the segment from a point C to the line AB gives the distance from the point C to the line AB?
perpendicular by Deviin Mayweather of Boyd Anderson
When ab is perpendicular to CD?
when angle abc and abd equalls to 90 degree then ab perpendicular to cd
How do you represent perpendicular?
It is represented by an inverted T. Ex: If AB is perpendicular to CD, It is represented as "AB ┴ CD".
What is the locus point equidistant from two points AB that are 8 cm apart?
The locus point is the perpendicular bisector of AB. The locus point is the perpendicular bisector of AB.
What is another word for perpendicular?
Line AB is perpendicular to BC. you can say this like; Line AB is at a right angle to BC
What is a characteristic of a perpendicular bisector?
Given a straight line joining the points A and B, the perpendicular bisector is a straight line that passes through the mid-point of AB and is perpendicular to AB.
Slope of a line AB is 4 what is the slope of CD if CD is perpendicular to AB?
Slope of perpendicular line is the negative reciprocal. So it is -1/4
