Planimetrics - math word problems - page 141 of 170
Study plane measurements, including angles, distances, and areas. In other words - measurement and calculation of shapes in the plane. Perimeter and area of plane shapes.Number of problems found: 3400
- Two chords
There is a given circle k (center S, radius r). From point A, which lies on circle k, are starting two chords of length r. What angle do chords make? Draw and measure. - Outer contact of circles
Construct a circle k1 (S1; 1.5 cm), k2 (S2; 2 cm), and K3 (S3; 2.5 cm) so that they are always two outer contacts. Calculate the perimeter of the triangle S1S2S3. - Triangle midpoints
Determine coordinates of triangle ABC vertices if we know triangle sides midpoints SAB [0;3] SBC [1;6] SAC [4;5], its sides AB, BC, AC. - Rectangular 24321
The rectangular garden on the 1:1000 scale plan is 10 cm by 15 cm. What is the perimeter of the garden?
- Parallelogram 54791
Construct triangle ABC if c = 5cm, b = 7cm and a = 4cm. Then create a parallelogram axially symmetric with the line AC. Measure the size of the second diagonal of this quadrilateral. - Map
Forest has an area of 36 ha. How much area is occupied by forest on the map at scale 1:500? - Angle ASB
On a circle with a radius of 10 cm and with a center S, the points A, B, and C are given so that the central angle ASB is 60 degrees and the central angle ASC is 90 degrees. Find the length of the circular arc and the amount of AB and AC offsets. - Construct 5593
Construct an isosceles trapezoid, whose base is 6 cm long, and the base forms an angle of 30 ° with the diagonal, and the arms are 4 cm long. - Construction 3357
ABCD rhombus construction entered: a + b = 9 cm; AC = 4.5 cm; height ha = 3.5 cm How long do sides a and b measure?
- Coordinates of a centroind
Let’s A = [3, 2, 0], B = [1, -2, 4] and C = [1, 1, 1] be 3 points in space. Calculate the coordinates of the centroid of △ABC (the intersection of the medians). - Hyperbola
Find the equation of hyperbola that passes through the point M [30; 24] and has focal points at F1 [0; 4 sqrt 6], F2 [0; -4 sqrt 6]. - Construct
Construct a rhombus ABCD with side a = 7cm, b = 5cm, whose diagonal e is perpendicular to side b. - Circle tangent
It is given to a circle with the center S and a radius of 3.5 cm. The distance from the center to line p is 6 cm. Construct a circle tangent n which is perpendicular to the line p. - Tangents construct
The circle k is given k (S; 2.5 cm) and an outer line p. Construct a tangent t of the circle that has a line p angle 60°. How many solutions have the task?
- Hypotenuse 82370
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°. - Quadrilateral 67384
Construct a quadrilateral ABCD if AB = 10cm, AD = 6cm, DC = 6.5cm and angle BCD = 90 degrees - Equilateral 14873
There is a circle with a radius of 2.5 cm and point A, which lies on it. Write an equilateral triangle ABC in the circle. - Tangent 6770
A circle k (S; 2.5 cm) and a point L are given if | SL | = 4cm. Make a tangent to the circle passing through point L. - Connect 6500
Draw the line KL = 55mm. Draw a circle k with center K and radius 4cm. Mark the points to belong to the circle and connect them with point L.
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