Planimetry - math word problems - page 123 of 187
Number of problems found: 3735
- Angles
In the triangle ABC, the magnitudes of the angles α, β γ are in the ratio 0.4:1:0.9. Find their magnitudes. - N-gon angles
What is the sum of the interior angles of an 8-gon? What is each interior angle of a regular convex 8-gon? - Bent scale
Monica weighed 52 kg. Sara 54 kg. Together they weighed 111 kg. They noticed that the needle on the scale was bent. How much did they really weigh? - Triangle angle ratio
In the right-angled triangle ABC (the right angle at vertex C), the angle ratio is α : β = 5 : 3. Calculate the sizes of these angles and convert them to degrees and minutes (e.g., 45°20') - Land boundary
The land is a right triangle. Its hypotenuse is 30 meters long, and its circumference is 72 meters. What are the sizes of the remaining sides of the land boundary? - Rectangle 3-4-5
The sides of the rectangle are in a ratio of 3:4. The length of its diagonal is 20 cm. Calculate the area of the rectangle. - Angles of the triangle
ABC is a triangle. The size of the angles alpha and beta are in a ratio of 4:7. The angle gamma is greater than the angle alpha by a quarter of a straight angle. Determine the angles of the triangle ABC. - Garden trapezoid mesh
The garden is a rectangular trapezoid a=50 m, c=30 m, d=15 m. If we add an 8% loss to the calculated length, how many meters of mesh do we need to fence it? - Metal washers
Metal washers with a diameter of 80 mm are cut from a strip of steel sheet with a width of 10 cm and a length of 2 m. When two adjacent circles meet, calculate the material waste percentage if no material is lost. - Identical line
In which triangles is the line identical with the height? - Paper strip folding
A rectangular strip of paper measuring 4 cm x 13 cm is folded as shown. The two resulting rectangles have areas P and Q, where P = 2Q. Calculate the value of x. Note divide the side of 13 cm by x and 13-x. - Railway
The railway line climbs 8 per mille between points A and B, whose horizontal distance is 1.5 km. It climbs 14 per mille between points B and C, which have a horizontal distance of 900 m. Calculate the differences in altitudes between points A and C. - 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. - Folding table
A folding kitchen table is rectangular with an area of 168 dm² and one side 14 dm long. If necessary, it can be enlarged by attaching two semicircular plates along the sides b. By what percentage does the table area increase? Round the result to the neare - Center of gravity and median
In the isosceles triangle ABC, the center of gravity T is 2 cm from the base AB. The median parallel to the AB side measures 4 cm. What is the area of the ABC triangle? - Triangle Side Lengths Ratio
Triangle with o = 16.8 cm and aspect ratio a:c = 1:2 and b:c = 5:6. Calculate side lengths a =? B =? c =? - Square diagonal
Calculate the diagonal of such a square, which holds that its area is equal to its perimeter (without considering units numerically ...). - Rectangle
The perimeter of a rectangle is 48 cm. Calculate its dimensions if they are in the ratio 5:3 (width: height) - Horizontal distance
The road leading from place A to place B has a gradient of 9%. Considering that their altitudes differ by 27.9 m, determine the horizontal distance between them. - Two squares
Two squares with sides in the ratio 3:7 have a sum of their perimeters 58 cm. Calculate the sum of the area of these two squares.
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