Planimetrics - math word problems - page 50 of 184
Number of problems found: 3673
- Quadrilateral eq3  Three sides of a quadrilateral are equal to the foreside, which is 16 cm long. What is the length of the one with equal sides if the perimeter is 58 cm? Three sides of a quadrilateral are equal to the foreside, which is 16 cm long. What is the length of the one with equal sides if the perimeter is 58 cm?
- 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. The isosceles triangle has a circumference of 46 cm. If the arm is 5 cm longer than the base, calculate its area.
- Trapezoid  - interior angles  In the trapezoid ABCD (AB II CD) is α = 57°, γ = 4β. Calculate the size of all interior angles. In the trapezoid ABCD (AB II CD) is α = 57°, γ = 4β. Calculate the size of all interior angles.
- Rectangle  There is a rectangle with a length of 12 cm and a diagonal 8 cm longer than the width. Calculate the area of a rectangle. There is a rectangle with a length of 12 cm and a diagonal 8 cm longer than the width. Calculate the area of a rectangle.
- Parallelogram  Rhomboid (parallelogram) has a longer side of 50 cm long. The size of its one height is four times the size of its second height. Calculate the length of the shorter side of this rhomboid in centimeters. Rhomboid (parallelogram) has a longer side of 50 cm long. The size of its one height is four times the size of its second height. Calculate the length of the shorter side of this rhomboid in centimeters.
- 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. The leg of the isosceles triangle is 5 dm, and its height is 20 cm longer than the base. Calculate base length z.
- Isosceles  Isosceles trapezium ABCD ABC = 12 angle ABC = 40 ° b=6. Calculate the circumference and area. Isosceles trapezium ABCD ABC = 12 angle ABC = 40 ° b=6. Calculate the circumference and area.
- Circumference of a triangle  The circumference of the triangle is 104 cm. One side is 6 cm longer and 8 cm shorter than the third. Find the lengths of its sides. The circumference of the triangle is 104 cm. One side is 6 cm longer and 8 cm shorter than the third. Find the lengths of its sides.
- 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? 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?
- The rectangle  The length and width of a rectangle are in the ratio of 5:2. Its length is 7.5 cm longer than its width. Find the area of the rectangle. Determine also its length and its width. The length and width of a rectangle are in the ratio of 5:2. Its length is 7.5 cm longer than its width. Find the area of the rectangle. Determine also its length and its width.
- Three angles  In a triangle ABC, the magnitude of the internal angle gamma is equal to one-third of the angle alpha. The size of the angle beta is 80 degrees larger than the size of the gamma angle. Calculate the magnitudes of the interior angles of the triangle ABC. In a triangle ABC, the magnitude of the internal angle gamma is equal to one-third of the angle alpha. The size of the angle beta is 80 degrees larger than the size of the gamma angle. Calculate the magnitudes of the interior angles of the triangle ABC.
- Arc-sector  arc length = 17 cm area of sector = 55 cm² arc angle = ? the radius of the sector = ? arc length = 17 cm area of sector = 55 cm² arc angle = ? the radius of the sector = ?
- Trapezoid ABCD v2  Trapezoid ABCD has a length of bases in ratio 2:7. The area of triangle ACD is 140 dm². What is the area of trapezoid ABCD? Trapezoid ABCD has a length of bases in ratio 2:7. The area of triangle ACD is 140 dm². What is the area of trapezoid ABCD?
- Column  The vertical pole high 7 m tall broke, and its toe fell 4.7 m from the bottom of the pole. At what height above the ground does the pole break? The vertical pole high 7 m tall broke, and its toe fell 4.7 m from the bottom of the pole. At what height above the ground does the pole break?
- Square diagonal  Calculate the length of the diagonal of the square with side a = 11 cm. Calculate the length of the diagonal of the square with side a = 11 cm.
- Determine 82143  Determine the size of the interior angles in an isosceles triangle if you know that the angle opposite the base is 15° greater than the angles at the base. Determine the size of the interior angles in an isosceles triangle if you know that the angle opposite the base is 15° greater than the angles at the base.
- String  63794   The chord AB is in the circle k with a radius of 13 cm. The center C of the string AB is 5 cm from the center S of the circle. How long is the AB string? The chord AB is in the circle k with a radius of 13 cm. The center C of the string AB is 5 cm from the center S of the circle. How long is the AB string?
- Gamma angle  Find the magnitude of the gamma angle in triangle ABC if: α = 38° 56' and β = 47° 54'. Find the magnitude of the gamma angle in triangle ABC if: α = 38° 56' and β = 47° 54'.
- Circumference  7655   The triangle has a circumference of 35 cm. One side is four times longer than the other and, at the same time, 1 cm longer than the third. Determine the sides of the triangle. The triangle has a circumference of 35 cm. One side is four times longer than the other and, at the same time, 1 cm longer than the third. Determine the sides of the triangle.
- Circumference  6929   Two-thirds of the circumference of the circle is 12π cm long. Calculate the area of the circle. Two-thirds of the circumference of the circle is 12π cm long. Calculate the area of the circle.
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