Planimetrics - math word problems - page 141 of 178
Number of problems found: 3558
- Laws
From which law directly follows the validity of Pythagoras' theorem in the right triangle? ... - An electrician 3
In setting up a wiring job, an electrician ran the following lengths of wire: 340 m, 203 m, 74 m, and 99 m. Find the total length of wire used. - Coordinate 82855
What is the ratio of the distance of the nearest and farthest point of the circle described by the equation x2+y2-16x-12y+75=0 from the origin of the coordinate system? - Area of RT
The right triangle has orthogonal projections of legs to the hypotenuse lengths 15 cm and 9 cm. Determine the area of this triangle.
- Proof PT
Can you easily prove Pythagoras' theorem using Euclidean theorems? If so, do it. - A screen
A screen is 1680 x 1050 pixels. What are the coordinates (and size in pixels) of a central area which is exactly 33% of the screen size? - Diagonals
What x-gon has 54 diagonals? - Hexagon
Divide a regular hexagon into lines with nine completely identical parts; none of them must be in a mirror image (you can only rotate individual parts arbitrarily). - Circle
The circle is given by the center on S[-7; 10], and the maximum chord is 13 long. How many intersections have a circle with the coordinate axes?
- Closest point
On the line p: 2x + y + 1 = 0, find the point A ∈ p that is closest to the point P =(1,0) - Triangle 71404
Which three lines of a given length can be three sides of a triangle? A / 42mm; 22mm; 12mm; B / 5cm, 50mm, 6cm; C / 10m, 5m, 50dm; D / 2.1cm, 4.2cm, 1.9cm - Calculate 7743
The wire is wound into several turns. The thickness of 10 threads is 1 cm. Calculate the wire thickness. - Flowerbed
The family has tulips on a square flower bed of 6 meters. Later, they added a square terrace with a side of 7 meters to their house. One vertex of the terrace lay exactly in the middle of a tulip bed, and one side of the terrace was divided by the side of - Triangle from sticks
Bob the boulder has many sticks of lengths 3.5 and 7. He wants to form triangles, each of whose edges consists of exactly one stick. How many non-congruent triangles can be formed with the sticks?
- Backpacking 2579
Aleš, Karel, and Simon went on a trip at 6:45. They arrived at the finish line at 9:15. They carried one backpack with them and took turns after 20 minutes. Karel carried the first section, and at 8.30 by Simon. a) Who carried the backpack in the second s - Coordinate 82580
Write the equation of the ellipse that passes through the points, and its axes are identical to the coordinate axes when A = [2, 3] and B = [−1, −4]. - 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. - Square-shaped 73564
The map shows a square-shaped field with a side length of 0.7 cm. Its area is 49 ha. Find the scale of the map. - Probability 81637
We randomly select three different points from the vertices of a regular heptagon and connect them with line segments. The probability that the resulting triangle will be isosceles is equal to: (A) 1/3 (B) 2/5 (C) 3/5 (D) 4/7
Prove whether you can construct a triangle ABC if a=8 cm, b=6 cm, c=10 cm.Do you have unsolved problem that you need help? Ask a question, and we will try to solve it. Solving math problems.
