Construct 8
Construct an analytical geometry problem where it is asked to find the vertices of a triangle ABC:
The vertices of this triangle are points A (1,7), B (-5,1) C (5, -11). The said problem should be used the concepts of distance from a point to a line, ratio of a division of a segment by a point, and angle between two lines.
a) find the length of all sides of a given triangle ABC
The vertices of this triangle are points A (1,7), B (-5,1) C (5, -11). The said problem should be used the concepts of distance from a point to a line, ratio of a division of a segment by a point, and angle between two lines.
a) find the length of all sides of a given triangle ABC
Correct answer:
Tips for related online calculators
Do you want to convert length units?
The Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.
The Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.
You need to know the following knowledge to solve this word math problem:
geometryplanimetricsbasic operations and conceptsUnits of physical quantitiesGrade of the word problem
Related math problems and questions:
- MO - triangles
On the AB and AC sides of the ABC triangle lies successive points E and F, and on segment EF lie point D. The EF and BC lines are parallel. It is true this ratio FD:DE = AE:EB = 2:1. The area of the ABC triangle is 27 hectares, and line segments EF, AD, a - Hypotenuse - construct problem
A line segment AA1 of length 6 cm is given. Construct all triangles ABC for which AA1 is the hypotenuse, side length BC is 5 cm, and angle gamma is 60°. - Intersection 7247
On side AB of triangle ABC, points D and E are given such that |AD| = |DE| = |EB|. Points A and B are the midpoints of segments CF and CG. Line CD intersects line FB at point I, and line CE intersects line AG at point J. Prove that the intersection of lin - Points on line segment
Points P and Q belong to segment AB. If AB=a, AP = 2PQ = 2QB, find the distance between point A and the midpoint of segment QB. - Half-planes 36831
The line p and the two inner points of one of the half-planes determined by the line p are given. Find point X on the line p so that the sum of its distances from points A and B is the smallest. - Intersection 81611
Given a triangle ABC: A (-1,3), B(2,-2), C(-4,-3). Determine the coordinates of the intersection of the heights and the coordinates of the intersection of the axes of the sides. - Add vector
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
