Pythagorean theorem + planimetrics - practice problems - last page
Number of problems found: 858
- Construct 5868
Construct a square if u-a = 1 - Determine 3586
Determine the size of the vectors u = (2,4) and v = (-3,3) - Distance problem
A=(x, x) B=(1,4) Distance AB=√5, find x; - Vertices of RT
Show that the points P1 (5,0), P2 (2,1) & P3 (4,7) are the vertices of a right triangle.
- Equation of circle
Find an equation of the circle with indicated properties: a. center at (-3,5), diameter 20. b. center at origin and diameter 16. - 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. - Circumscribing
Find the radius of the circumscribed circle to the right triangle with legs 6 cm and 3 cm. - Equation of the circle
Find an equation of the circle whose diameter has endpoints (1,-4) and (3,2).
- Vectors abs sum diff
The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|. - 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). - Equation 81932
Write the general equation of a circle with point S(2;5) and point B(5;6) lying on this circle. - Center
Calculate the coordinates of the circle center: x² -4x + y² +10y +25 = 0
- Segment
Calculate the segment AB's length if the coordinates of the end vertices are A[10, -4] and B[5, 5]. - Height
Is it true that the height is less or equal to half of the hypotenuse in any right triangle? - Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find the value of x - Vector 7
Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|.
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