Questions on Geometry: Length, distance, coordinates, metric length answered by real tutors!

Tutors Answer Your Questions about Length-and-distance (FREE)

Question 1045534: find the radius of a circle with center at (-2,1), if the chord of length 10 is bisected at (-3,0)
with drawing pls.
Click here to see answer by MathTherapy(10551)

Question 1045544: find the points of division given the segment joining (5 1) and (-3 -1) is to be divided into four equal parts.
Click here to see answer by ewatrrr(24785)

Question 1045523: show in a new way that the points (-1 -2), (5 4), (-3 0) are the vertices of a right triangle
drawing pls
Click here to see answer by ewatrrr(24785)

Question 1045525: three consecutive vertices of a parallelogram are (1 -3), (-3 -1) (3 5). find the fourth vertex
drawing pls.
Click here to see answer by ewatrrr(24785)

Question 1045525: three consecutive vertices of a parallelogram are (1 -3), (-3 -1) (3 5). find the fourth vertex
drawing pls.
Click here to see answer by robertb(5830)

Question 1045543: three consecutive vertices of a parallelogram are (1 -3), (-3 -1) (3 5). find the fourth vertex
Click here to see answer by advanced_Learner(501)

Question 1045520: locate the point which satisfies the given conditions.
Equidistant from (3,8), (5,2) and (-3,-4)
drawing pls.
Click here to see answer by Alan3354(69443)

Question 1045545: show in a new way that the points (-1 -2), (5 4), (-3 0) are the vertices of a right triangle
Click here to see answer by robertb(5830)

Question 1045667: I need help with this question.
In order to rescue Max's cat, his father propped a 19 foot long ladder against a tree at a 42 degree angle with the ground. How many feet above the ground was his cat. Round your answer to the nearest tenth of a foot.
Thanks
Click here to see answer by LinnW(1048)

Question 1045494: find the radius of a circle with center at (2,3), if the chord of length 10 is bisected at (-3,0)
Click here to see answer by Edwin McCravy(20054)

Question 1045679: A toy designer has created a new tow truck. He has attached a 4.2 inch arm to the truck bed at a angle of 32�. He now needs to design a second arm that hangs down from the top of the first arm to the bed of the truck at a 90� angle. How long should that arm and hook be so that it exactly touches the truck bed? Round your answer to the nearest tenth, if necessary.
Thank you.
Click here to see answer by solver91311(24713)

Question 1045849: Write an equation of the parabola with directrix x=-1 and focus (1,-2).
Click here to see answer by josgarithmetic(39615)

Question 1046069: Show if the given set points are vertices of an isosceles triangle
Point 1 (6,7)
Point 2 (-8,-1)
Click here to see answer by josgarithmetic(39615)

Question 1046078: I want to generate a path of exactly fifty 1-foot steps on an XY plane.
The path is to begin at (0,0) and end at exactly (25,0). Both of the
axes are in feet. Each of the 1-foot steps is in a uniform random XY
direction (limited by the requirement that the sum of the lengths of
each step projected onto the X-axis must be exactly 25 feet).
I'm stumped as to how to do that. I hope that someone can help!
Click here to see answer by ewatrrr(24785)

Question 1046324: The coordinates of points A and C are (0, -3) and (3, 3), respectively. If point B lies on line AC between points A and C, and if AB = 2BC, which of the following represents the coordinates of point B?
Answer is (2, 1).
Click here to see answer by josgarithmetic(39615)

Question 1046349: Four cities lie along a straight highway in the order of city A B C and D. the distance from city A to city B is five times the distance from city B to city CD. The distance from city A to city D is two times The distance from city A to city B the distance between cities C to D is 10 miles. What is the distance between city AB?
Click here to see answer by KMST(5328)

Question 1046270: The distance of a point P(h,k) from a pair of straight lines passing through origin is 'd' units. Show that the equation of the pair of lines is (xk - hy)^2=d^2(x^2+y^2).
Click here to see answer by robertb(5830)

Question 1046839: Suppose J is between H and K. Use the Segment Addition Postulate to solve for x. Then find the length of each segment.
HJ = 2x + 1/3
JK = 5x + 2/3
KH = 12x - 4
Click here to see answer by advanced_Learner(501)

Question 1046902: prove that the points whos position vectors are 4i j 3k, i 3j 2k and 2i 7k are vertices of a right angle triangle
Click here to see answer by Edwin McCravy(20054)

Question 1047108: Given the points H(10, 7) and J(-8, 15), determine the coordinates of the midpoint, M, of segment HJ. Enter the x-coordinate of M
Click here to see answer by ewatrrr(24785)

Question 1047181: carmines boat has a top speed of 9 mph in still water. while traveling on a river at TopSpeed she went 10 miles upstream in the same amount of time she went 20 miles downstream. Find the rate of the river current.
Click here to see answer by josmiceli(19441)

Question 1048112: What is a way to find the distance between two points without using the distance formula?
Click here to see answer by josgarithmetic(39615)

Question 1048134: The divided line segment from A(-9,2) to point B(12,8) is divided by the point P(-2,4) in the ratio m:n. In what ratio does P partition AB?
Click here to see answer by Boreal(15235)

Question 1048292: If P=(-2,0) Q=(10,-14) and R=(-4, -2), is PQ=QR, using the distance formula.
Click here to see answer by Alan3354(69443)

Question 1048654: Having problem figuring this out: George is building a large model airplane in his workshop. If the door to his workshop is 3 feet wide and 6 1/2 feet high and the airplane has a wingspan of 7 feet, will George be able to get his airplane out of the workshop?
Click here to see answer by josmiceli(19441)

Question 1048655: having trouble with this problem: Michael had $10 to spend on popcorn at the movies. He had to choose between buying two small cylindrical containers at $5 each or one large cylindrical container for $10. He noticed that the large container was 2/3 the height of the small container, but that the diameter of the large container looked about twice as long as the diameter of the small container. He bought the large container then asked his math class if he'd made the right choice. Did he make the right choice? Explain why or why not.
Click here to see answer by solver91311(24713)

Question 1048718: What's the other endpoint of the segment with the given endpoint and midpoint?
Endpoint: (-9,-1/2) Midpoint: (6,-3 1/2)
Click here to see answer by josmiceli(19441)

Question 1048897: Writing to Learn Equidistant Point from Vertices of a Right Triangle Prove that the midpoint of the hypotenuse of the right triangle with vertices (0, 0), (5,0), and (0, 7) is equidistant from the three vertices.

Click here to see answer by stanbon(75887)

Question 1048927: Find LM if Km=24%3/4
Click here to see answer by Alan3354(69443)

Question 1048893: This is for my elementary functions class and I am beyond confused. I just can't understand these.
53. Determining a Line Segment with Given Midpoint Let (4, 4) be the midpoint of the line segment determined by the points (1, 2) and (a, b). Determine a and b.

54. Writing to Learn Isosceles but Not Equilateral Triangle Prove that the triangle determined by the points (3, 0), (1, 2), and (5, 4) is isosceles but not equilateral.

Click here to see answer by josgarithmetic(39615)

Question 1049277: 7.If A and B are points (-6, 5) and (-2, 2) respectively, then the distance 3AB is equal to:

Click here to see answer by Alan3354(69443)

Question 1049333: The midpoint M and one endpoint Safe given.Find the coordinates of the other midpoint.
#1. A (-3,-2)and M (2,6) #2. A (2,16)and M (4,8)
Click here to see answer by josgarithmetic(39615)

Question 1049357: A block of lead has the shape of a rectangular solid whose dimensions are 1/2 in by 3/4 in by 1 in. This piece of oead is to be melted and recast into the form of a regular triangular prism each basal edge of which is to be 1/2 in. What must be the altitude of this prism.
Click here to see answer by stanbon(75887)

Question 1049460: Each lateral edge of a prism is 30 cm and is inclined at an angle of 45� to the planes of the bases. How long is the altitude?
Click here to see answer by ikleyn(52769)

Question 1049355: Each lateral edge of a prism is 30 cm and is inclined at an angle of 45� to the planes of the bases. How long is the altitude?
Click here to see answer by ikleyn(52769)

Question 1049355: Each lateral edge of a prism is 30 cm and is inclined at an angle of 45� to the planes of the bases. How long is the altitude?
Click here to see answer by hussamuddin(51)

Question 1049516: Each lateral edge of a prism is 50 cm and is inclined at an angle of 45� to the planes of the bases. How long is the altitude?
Click here to see answer by advanced_Learner(501)

Question 1049669: A train leaves New York at 2:00 PM. A second train leaves the same city in the same direction at 7:00 PM. The second train travels 150 mph faster than the first. If the second train overtakes the first at 9:00 PM, what is the speed of each of the two trains?
Click here to see answer by advanced_Learner(501)

Question 1049734: Given: a right triangle ABC
Point D is between point A and point C
Point E is between point B and point C
Triangle BDA is a right triangle
Triangle DEC is a right triangle
Question: if line AB is 12 and line BC is 16, find line ED.
Click here to see answer by advanced_Learner(501)

Question 1050169: A trapezoid is inscribed a circle which has a radius of 2. The point (x,y) is on the trapezoid and the circumference of the circle. Write a function for the area of the trapezoid with y as the only variable.
Click here to see answer by ikleyn(52769)

Question 1050283: The length of a rectangle is three times the width. If the perimeter is 36
cm, find the width.
Click here to see answer by ewatrrr(24785)

Question 1050275: The height of a cylindrical vessel that will hold 20 liters is equal to the diameter. Find the altitude and the radius.
Click here to see answer by Alan3354(69443)

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