Line + Pythagorean theorem - practice problems
Number of problems found: 72
- Segment
Calculate the segment AB's length if the coordinates of the end vertices are A[10, -4] and B[5, 5]. - Distance between 2 points
Find the distance between the points (7, -9), (-1, -9) - Medians and sides
Determine the size of a triangle KLM and the size of the medians in the triangle. K=(-5; -6), L=(7; -2), M=(5; 6). - Circle
The circle k with diameter |MN| = 61. Point J lies on the circle k. Line |MJ|=22. Calculate the length of a segment JN. - Ladder
A 4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall? - Calculate 8
Calculate the coordinates of point B axially symmetrical with point A[-1, -3] along a straight line p : x + y - 2 = 0. - Square side
Calculate the length of the side square ABCD with vertex A[0, 0] if diagonal BD lies on line p: -4x -5 =0. - Distance problem
A=(x, x) B=(1,4) Distance AB=√5, find x; - Equal distance
Find the equation for all the points (x, y) that are equal in distance from points A(5,-2) and B(-2,10). - Midpoint of segment
Find the distance and midpoint between A(1,2) and B(5,5). - Line segment
Find the length of the line joining points A(-4,8) and B(-1,4). - On a line
On a line p : 3 x - 4 y - 3 = 0, determine the point C equidistant from points A[4, 4] and B[7, 1]. - Distance
Calculate the distance between two points K[6; -9] and G[5; -1]. - Sprinkler 80801
A sprinkler is located in the park at a distance of 3m from the sidewalk. Water blasted up to a distance of max. 5m. What is the maximum length of the sidewalk it will cover? - Calculate 4865
Calculate the length of the line segment AB, given A [8; -6] and B [4; 2] - Chord BC
A circle k has the center at the point S = [0; 0]. Point A = [40; 30] lies on the circle k. How long is the chord BC if the center P of this chord has the coordinates [- 14; 0]? - Vertices of a right triangle
Show that the points D(2,1), E(4,0), and F(5,7) are vertices of a right triangle. - Park
In the park is a marked diamond-shaped line connecting locations A, D, S, C, B, and A. Calculate its length if |AB| = 108 m, |AC| = 172.8 m. - Three points
Three points A (-3;-5) B (9;-10) and C (2;k) . AB=AC What is the value of k? - Equation of circle 2
Find the equation of a circle that touches the axis of y at a distance of 4 from the origin and cuts off an intercept of length 6 on the axis x.
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