Planimetrics - math word problems - page 47 of 183
Number of problems found: 3656
- Woman's day
We can easily make a heart for mothers for Woman's day by drawing two semicircles on the two upper sides of the square standing on their top. What is the radius of the circle circumscribed by this heart when the length of the side of the square is 1?
- Arm and base
The isosceles triangle has a circumference of 46 cm. If the arm is 5 cm longer than the base, calculate its area.
- A square
A square with a length of diagonals 12cm gives: a) Calculate the area of a square b) The rhombus, with the same area as the square, has one diagonal with a length of 16 cm. Calculate the length of the other diagonal.
- Rhombus
The rhombus has diagonal lengths of 4.2cm and 3.4cm. Calculate the length of the sides of the rhombus and its height.
- Circumference 82489
An isosceles trapezoid has one base twice as short as the other. Its area is 42 cm², and its height is 4 cm. Calculate its circumference if you know that the arm is 5.3 cm long.
- Gamma angle
Find the magnitude of the gamma angle in triangle ABC if: α = 38° 56' and β = 47° 54'.
- Parallelogram 25371
A parallelogram with a side length of 5 cm and a height to this side length of 4 cm has the same area as an isosceles triangle with a base length of 5 cm. What is the height of this triangle?
- Determine 8134
The perimeter of the rectangle, which can be divided into three squares, is 168 cm. Determine the lengths of its sides.
- Triangle 42
Triangle BCA. Angles A=119° B=(3y+14) C=4y. What is the measure of triangle BCA=?
- Triangles: 6625
Calculate the height on the d side of the BCD triangles: d = 0.4 m and S = 10.04 dm2
- Calculate 5809
In the ABCD rectangle, the AB side is 16 cm long, and the AC diagonal is 20 cm long. Calculate the perimeter and area of the rectangle.
- Circumference 4127
The base is 3.5 cm shorter than the shoulder in an isosceles triangle. The circumference of the triangle is 58 cm. Calculate the lengths of the sides of this triangle.
- Garden
Trapezoid garden has parallel sides 19 m and 24 m. Its area is 193.5 square meters. What is the width of the garden?
- Right-angled 82416
What are the sides of a right-angled triangle with a perimeter of 45 centimeters and a volume of 67.5 cm²?
- Circumference 9541
What is the area of the round flowerbed, whose circumference is 62.8 m? How many edges does it have?
- Peter's rectangle
Peter had a rectangle 2 cm wide and of unknown length. The line had a 2 cm rectangle whose length was equal to the perimeter of Peter's rectangle. When they put the rectangles together with their widths, they got a new rectangle with a circumference of 63
- The parallelogram
The parallelogram has one side 2 dm long, which is one-sixth of its circumference. How many cm does the other side of the parallelogram measure?
- Isosceles triangle
The leg of the isosceles triangle is 5 dm, and its height is 20 cm longer than the base. Calculate base length z.
- Interior angles
You know the size of the two interior angles of the triangle alpha = 40° and beta = 60°. Calculate the size of the third interior angle.
- Two diagonals
The diagonals of the diamond EFGH have lengths in the ratio of 1:2. What is the circumference of a rhombus if the longer diagonal is 8 cm long?
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