Planimetrics - math word problems - page 143 of 169
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: 3380
- Map scale
The rectangular plot has a scale of 1:10000 area of 3 cm² on the map. What area does this plot have on a 1:5000 scale map? - Determine 5893
Determine the largest integer n for which the square table n×n can be filled with natural numbers from 1 to n² (n squared) so that at least one square power of the integer is written in each of its 3×3 square parts. - Draw triangle
Construct right triangle MNO with hypotenuse o = 5 cm and angle MNO = 37° - Vertex points
Suppose the following points of a triangle: P(-12,6), Q(4,0), R(-8,-6). Graph the triangle. Find the triangle area.
- Rectangle
Draw a rectangle with the sides a = 4 cm, b = 5 cm. Mark the center of symmetry S and all axes of symmetry. How many axes of symmetry? Write down. - Triangle 8320
Is there a triangle with heights of 4, 7, and 10 meters? - Distance 15203
In the plane, the points A, B, and C are given 3 cm apart, and they do not lie in the same straight line. Mark the set of all points whose distance from all three points is less than or equal to 2.5 cm. - Construction: 81894
Construct a rhombus that has a side length of 5 cm and a height of 4.5 cm. Outline: Analysis: Construction: Method: - Intersection 64854
Draw any triangle. Make the axis of its two sides. Their intersection is point S. (a) Measure the distance of point S from all three vertices (b) Draw the axis of the third party.
- Trapezoid 61394
Sestroj trapezoid ABCD, if a = 8cm, b = 5cm, alpha = 60 °, beta = 75 ° - Brassier 33341
Draw an ABCD brassier if a = 4.8cm b = 3.5cm and va = 2.9cm - Construct 30121
Point B is a vertex of rectangle ABCD. The diagonal BD of this rectangle lies on the line p. Point X is an interior point of side AD of rectangle ABCD, and point Y is an internal point of side CD. Construct the missing vertices D, A, and C of rectangle AB - Calculate 7344
Draw squares. Color them and calculate the perimeter and areas square ABCD a = 3cm square EFGH b = 4cm - Construct 5029
Try to construct the MNP triangle p = 6cm, n = 5cm, Vp = 4cm Answer the measured side length m
- Quadrilateral 3262
Construct a quadrilateral ABCD with dimensions AB, BC, AC, BD, and angle d = CDA. - Pentagon
The signboard has the shape of a pentagon ABCDE, in which line BC is perpendicular to line AB, and EA is perpendicular to line AB. Point P is the heel of the vertical starting from point D on line AB. | AP | = | PB |, | BC | = | EA | = 6dm, | PD | = 8.4dm - Construction 32971
There is any circle k that does not have a marked center. Use a suitable construction to find the center of the circle k. Try on two different circles. - Construct
Construct a rhombus ABCD if the size of the diagonal AC is 6 cm and the diagonal BD is 8 cm long. - Rhombus EFGH
Construct the rhombus EFGH where e = 6.7cm, height to side h: vh = 5cm
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