Planimetry - math word problems - page 108 of 187
Number of problems found: 3735
- Segment in a triangle
In a triangle ABC with the side/AB/ = 24 cm constructed middle segment/DE/ = 18 cm parallel to the side AB at a distance of 1 cm from AB. Calculate the height of the triangle ABC to side AB. - Tangents Circle Distance
Two tangents are drawn from point C to a circle with a radius of 76 mm. The distance between the two contact points is 14 mm. Calculate the distance of point C from the center of the circle. - Circle - AG
Find the coordinates of the circle and its diameter if its equation is: x² + y² - 6x-4y=36 - Line equation
The given triangle is ABC: A [-3; -1] B [5; 3] C [1; 5] Write the line equation that passes through the vertex C parallel to the side AB. - Irregular pentagon
A rectangle-shaped, 16 x 4 cm strip of paper is folded lengthwise so that the lower right corner is applied to the upper left corner. What area does the pentagon have? - Circle arc segment
A circle with a radius r=8 cm is divided by points K and L in a ratio of 5 to 4. Calculate the sizes of the center and circumferential angles, corresponding to both arcs and the area of the larger segment. - Magic belt
The magic rectangular belt has the property that whenever its owner wants something, the length of the belt is reduced to 1/2 and the width to 1/3. After three such wishes, the belt had an area of 4 cm². What was its original length if the original width - Plastering plan
The mason was to plaster 24.2 m² of the wall in 12 shifts. At what percentage did he meet the plan when plastering 306 m² of walls? - Road - permille
A 5 km long road begins at an altitude 500 meters above sea level and ends at an altitude of 521 ASL. How many per mille road rises? - Rectangle area decrease
The rectangle has side lengths of a = 40 cm and b = 10 cm. We reduce side a's length by 30% and side b by 10%. Determine how much less the area of the rectangle has decreased in percentages. - Quadrilateral PQRS
PQRS is a quadrilateral with P(4,4), S(8,8), and R(12,8). If vector PQ=4*vector SR, find the coordinates of Q. Solve it - There
There is a triangle ABC: A (-2,3), B (4, -1), C (2,5). Determine the general equations of the lines on which they lie: a) AB side, b) height to side c, c) Axis of the AB side, d) median ta to side a - Coordinates of the vertices
Calculate the coordinates of the vertices of a triangle if the equations of its sides are 7x-4y-1 = 0 x-2y + 7 = 0 2x + y + 4 = 0 - Fence paint consumption
Mr. Konečný used 0.9 kg of paint to paint an 8 m long and 1.2 m high fence. a) How many kg must he buy when he will paint a 35 m long fence of the same height? b) How much paint will Mr. Malík need for a fence 1.5 m high and 42 m long. - Ratio of triangles areas
In an equilateral triangle ABC, the point T is its center of gravity, the point R is the image of the point T in axial symmetry along the line AB, and the point N is the image of the point T in axial symmetry along the line BC. Find the ratio of the areas - Non-woven fabric
A square sandpit should have a side length of 1.6 m. How long do you need a wooden board to enclose the sandpit? Under the sandbox, a non-woven fabric will extend by 0.2 m on each side. How much will we need? - Euclid theorems
Calculate the sides of a right triangle if leg a = 6 cm and a section of the hypotenuse, which is located adjacent to the second leg b, is 5 cm. - Window
Peter knocked a 100 × 67 cm opening in the wall for a window frame. When the glazier installs the frame and glass, the glass will be 13.5 cm from the edge of the opening on each side. By what percentage less light enters through the glass than through the - Equation of the circle
Find the equation of the circle with center (3,7) and circumference of 8π units. - Negative and postcard
The image on the negative has dimensions of 36x24 mm and is enlarged to a postcard format of 13.5x9 cm. In what proportion have the lengths increased? In what proportion has the image area increased?
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