Planimetry - math word problems - page 147 of 187
Number of problems found: 3739
- Similar triangles
The triangles ABC and XYZ are similar. Find the unknown lengths of the sides of the triangles. a) a = 5 cm b = 8 cm x = 7.5 cm z = 9 cm b) a = 9 cm c = 12 cm y = 10 cm z = 8 cm c) b = 4 cm c = 8 cm x = 4.5 cm z = 6 cm - Dodecagon
Calculate the size of the smaller angles determined by lines A1 A4 and A2 A10 in the regular dodecagon A1 A2A3. .. A12. Express the result in degrees. - Arithmetic mean - parabola
Find the value of k so that k² + 2k – 3 is the arithmetic mean between k² + 4k + 5 and k² – 6k + 10. - Railways
Railways climb 2.8 ‰. Calculate the height difference between two points on the railway distant 5997 meters. - A screen
A screen has a resolution of 1,680 × 1,050 pixels. What are the coordinates and dimensions (in pixels) of the central rectangular area that is exactly 33% of the screen's size? - Hypotenuse - RT
A triangle has a hypotenuse of 55 and an altitude to the hypotenuse of 33. What is the area of the triangle? - Hexagon
There is a regular hexagon ABCDEF. If the area of the triangle ABC is 10, what is the area of the hexagon ABCDEF? I do not know how to solve it simply.... - Building shadow height
The shadow of the building is 16 m long, and the shadow of the vertical meter rod is 0.8 m long at the same time. What is the height of the building? - Three parallels
The vertices of an equilateral triangle lie on three different parallel lines. The middle line is 5 m and 3 m distant from the end lines. Calculate the height of this triangle. - Circle described
The circle radius described in the right triangle with a 6 cm long leg is 5 cm. Calculate the circumference of this triangle. - Rhombus MATH
Construct a rhombus M A T H with diagonal MT=4 cm, angle MAT=120° - Right-angled triangle
The right-angled triangle XYZ is similar to the triangle ABC, which has a right angle at the vertex X. The following applies: side a = 9 cm, x=4 cm, x = v-4 (v = height of triangle ABC). Calculate the unknown side lengths of both triangles. - Triangle line ratio
The line p passes through the center of gravity T of the triangle and is parallel to the line BC. What is the ratio of the area of the divided smaller part of the triangle by the line p? What is the area of the triangle? - 2d shape
Calculate the area of a shape in which an arbitrary point is not more than 3 cm from the segment AB. The length of segment AB is 5 cm. - Sum of inner angles
Prove that the sum of all inner angles of any convex n-angle equals (n-2).180 degrees. - Sides ratio
Calculate the circumference of a triangle with an area of 84 cm² if a:b:c = 10:17:21 - Circle point equation
Determine the equation of the circle that is the set of all points of the plane that are twice as far from the point [3,7] as they are from the point [0,1]. - Probability - triangles
We have five lines with lengths of 3 cm, 5 cm, 7 cm, 9 cm, and 11 cm. What is the probability that we will be able to construct a triangle with randomly selected three? - Distance of the jetty
Three friends are sitting on a jetty which is exactly in the middle of a flowing river. The first friend sets off against the current of the river at a speed of 0.4 m/s, the second friend sets off along the current of the river at a speed of 0.2 m/s, the - Clock angle
Calculate the magnitude of the angle formed by the lines p and q, which connect 1, 6 (line p), and 5, 8 (line q) on the clock face.
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