Planimetrics - math word problems - page 116 of 183
Number of problems found: 3648
- In a
In a triangle, the aspect ratio a: c is 3:2, and a: b is 5:4. The perimeter of the triangle is 74cm. Calculate the lengths of the individual sides.
- Isosceles triangle
In an isosceles triangle, the arm's length and the length of the base are in a ratio of 3 to 5. What is the length of the arm?
- 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.
- Geometric 34741
What geometric shape do all points in the plane have the same distance from a given point in the plane?
- Calculate 8
Calculate the coordinates of point B axially symmetrical with point A[-1, -3] along a straight line p : x + y - 2 = 0.
- Semicircle
The semicircle with center S and the diameter AB is constructed equilateral triangle SBC. What is the magnitude of the angle ∠SAC?
- OK circle
The right triangle has hypotenuse long 33 and one cathetus long 17. Calculate the radius (circumradius) of the circle described.
- Circle arc
The circle segment has a circumference of 135.26 dm and 2096.58 dm² area. Calculate the radius of the circle and the size of the central angle.
- Circumference 66964
We have to construct a rectangle with a circumference of 30 decimetres. The rectangle has sides of whole decimetres. How many different rectangles can we make?
- Calculate 35223
In the ABC triangle, the alpha, beta, and gamma angles are in ratio 0.4:0.2:0.9. Calculate their size.
- Circumference 17533
If we enlarge the side of the square by half, its circumference will be 24 cm larger than the original. What is the side of the square?
- X-coordinate 81737
In triangle ABC, determine the coordinates of point B if you know that points A and B lie on the line 3x-y-5=0, points A and C lie on line 2x+3y+4=0, point C lies on the x-coordinate axis, and the angle at vertex C is right.
- Rectangular 83112
The garden is a rectangular trapezoid a=50m, c=30m, d=15m. If we add an 8% loss to the calculated length, how many meters of mesh do we need to fence it?
- Percentage 82591
A new path is to lead through Mr. Milan's garden – diagonally. By what percentage of the area of the park will it decrease? The length is 23.8 m, the width is 16.7 m, and the road width is 6 m.
- Rectangular 81233
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.
- Sides in ratio
The sides of the triangle are in a ratio of 2:6:5. Find the dimensions of the remaining sides if the longest side is 32 cm.
- A perimeter
The perimeter of a parallelogram is 2.8 meters. The length of one of its sides is equal to one-seventh of the entire perimeter. Find the lengths of the sides of the parallelogram.
- The angles ratio
The angles in the ABC triangle are in the ratio 1:2:3. Find the angles' sizes and determine what kind of a triangle it is.
- Rectangles
How many different rectangles can be made from 60 square tiles of 1 m square? Find the dimensions of these rectangles.
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