Area + geometry construction - practice problems
Number of problems found: 28
- Construct 83195
Two line segments of different lengths are given. Construct a circle k so that both line segments are its chords. - Percentage 80164
I was given a square ABCD 4.2 cm. Find the set of all points that have a distance less than or equal to 2 cm from one of its vertices and lie inside this square. Indicate how much of the square this area occupies as a percentage. - Triangle 73464
The given line is a BC length of 6 cm. Construct a triangle so that the BAC angle is 50° and the height to the side is 5.5 cm. Thank you very much. - Quadrilateral 71394
Sketch a grid of a quadrilateral prism with a rectangle of 1 cm x 3 cm and a height of 5 cm.
- Constructing 67634
During the construction of a 140-meter-long gas pipeline, a pit with vertical walls 1.5 m deep and 1 m wide must be created. A) How many cubic meters of soil must be dug up? B) We spread the excavated soil evenly on a field with dimensions of 70 m and 120 - Parallelogram 62084
OPRS parallelogram with OP side 4 cm long, OS side 5 cm long, angle at the top P is 100 °. What is its area? - Square equal rhombus
Construct a square that has the same area as a rhombus ABCD if |AB| = 5cm, |AD| = 4cm, and angle |DAB| = 30°. - Divide an isosceles triangle
How can an isosceles triangle be divided into two parts with equal areas perpendicular to the axis of symmetry (into a trapezoid and a triangle)? - Calculate 35083
Draw an isosceles triangle ABC with a base 7 cm long and shoulders 5.5 cm long. Assemble all the heights, measure them, and calculate their sum.
- 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. - 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. - Construction 27743
The length of the gutter is 2 m, and the diameter of the gutter is 0.4 m. It is necessary to add 7% of the material to the joints. Find the consumption of sheet metal for the gutter construction. - Side lengths
In the triangle ABC, the height to side a is 6cm. The height to side b is equal to 9 cm. Side "a" is 4 cm longer than side "b". Calculate the side lengths a, b. - Calculate 9701
In the triangle, the side length AB = 6 cm, the height per side c = 5 cm, and the angle BCA = 35°. Calculate sides a b.
- Block-shaped 7976
A block-shaped pool with a volume of 200m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make - Circle 7794
Draw a circle k, r = 4cm, and divide it into two parts in a ratio of 1:5. - Rectangles 7346
Draw rectangles. Color them and calculate the circuits and areas. KLMN: KL = 5CM LM = 3CM rectangle OPQR OP = 4cm PQ = 3.5cm - Calculate 7344
Draw squares. Color them and calculate the perimeter and areas square ABCD a = 3cm square EFGH b = 4cm - Perpendicular 5865
We cut the cube with two mutually perpendicular cuts, each parallel to one of the cube's walls. By what percentage is the sum of the surfaces of all cuboids created in this way greater than the surface of the original cube?
Calculate the surface of the quadrilateral prism ABCDA'B'C'D' with the trapezoidal base ABCD. The height of the prism is 12 cm; ABCD trapezoidal data: AB base length is 8 cm, CD base length is 3 cm, BC arm length is 4 cm, and AC diagonal length is 7 cm. LDo you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
