Pythagorean theorem - math word problems - page 44 of 74
Number of problems found: 1468
- Three vertices
The vertices of triangle ABC are: A[1, 2, -3], B[0, 1, 2], C[2, 1, 1]. Calculate the lengths of sides AB, AC and the angle at vertex A. - Axial symmetry
Find the image A' of point A [1,2] in axial symmetry with the axis p: x = -1 + 3t, y = -2 + t (t = are a real number) - Prove
Prove that k1 and k2 are the equations of two circles. Find the equation of the line that passes through the centers of these circles. k1: x²+y²+2x+4y+1=0 k2: x²+y²-8x+6y+9=0 - Rectangle
In a rectangle with sides 8 and 9, a diagonal is drawn. What is the probability that a randomly selected point inside the rectangle is closer to the diagonal than to any side of the rectangle? - Angle between vectors
Find the angle between the given vectors to the nearest tenth degree. u = (-1, 24) and v = (-8, -21) - Isosceles triangle
In an isosceles triangle ABC with base AB; A [3,4]; B [1,6] and the vertex C lies on the line 5x - 6y - 16 = 0. Calculate the coordinates of vertex C. - Angle between line and plane
Find the angle between the line given parametrically by x = 5 + t y = 1 + 3t z = -2t t ∈ R and the plane given by the equation 2x-y + 3z-4 = 0. - Length of the chord
Calculate the length of the chord in a circle with a radius of 25 cm and a central angle of 26°. - Triangle construction sides
Construct triangle HOP, if o = 6 cm, h = 8 cm and | PHO | = 90 ° - Vector endpoint magnitude
The endpoint of the vector, which is located at the origin of the Cartesian system Oxy, is given. Determine the coordinates of the vector and its magnitude, and sketch it: P[3,4]; Q[-2,7]; S[-5,-2] . .. i.e., Vectors PO, QO, SO - Touch circle
Point A has a distance (A, k) = 10 cm from a circle k with radius r = 4 cm and center S. Calculate: a) the distance of point A from the point of contact T if the tangent to the circle is drawn from point A b) the distance of the contact point T from the l - Space vectors 3D
The vectors u = (1; 3;- 4) and v = (0; 1; 1) are given. Find their sizes, calculate their angles, and determine the distances between them. - Equation of the circle
Find the equation of the circle with the center at (1,20), which touches the line 8x+5y-19=0 - Right triangle from axes
A line segment has its ends on the coordinate axes and forms a triangle of area equal to 36 square units. The segment passes through the point ( 5,2). What is the slope of the line segment? - Square
Points A[9,9] and B[-4,1] are adjacent vertices of square ABCD. Calculate the area of square ABCD. - Rectangle construction diagonal
Construct a rectangle ABCD if a = 8 cm and the length of the diagonal AC is 13 cm. Measure the length of the sides of the rectangle. - Lengths of medians from coordinates
There is a triangle ABC: A [-6.6; 1.2], B [3.4; -5.6], C [2.8; 4.2]. Calculate the lengths of its medians. - Triangle parallelogram construction
Construct triangle ABC if c = 5 cm, b = 7 cm and a = 4 cm. Then create a parallelogram axially symmetric with the line AC. Measure the size of the second diagonal of this quadrilateral. - Parabola focus equation
Determine the equation of the parabola that has the point F = [3,2] as its focus and the line x+y+1=0 as its shift line. - The coordinates
The coordinates (5, 2) and (-6, 2) are vertices of a hexagon. Explain how to find the length of the segment formed by these endpoints. How long is the segment?
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