Planimetrics - math word problems - page 51 of 184
Number of problems found: 3673
- 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. 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.
- Two-fifths 5337  The triangle is divided into three parts. The part at the vertex C occupies a third of the area of the triangle, the part at the vertex B is two-fifths of the area of the triangle, and the remaining part at the vertex A has an area of 4 m². Calculate the The triangle is divided into three parts. The part at the vertex C occupies a third of the area of the triangle, the part at the vertex B is two-fifths of the area of the triangle, and the remaining part at the vertex A has an area of 4 m². Calculate the
- Calculate  4425   In the triangle ABC with the center of gravity T, b = 7cm, median to c: tc = 9cm, the ATC angle is 112 degrees. Calculate the length of the line ta. In the triangle ABC with the center of gravity T, b = 7cm, median to c: tc = 9cm, the ATC angle is 112 degrees. Calculate the length of the line ta.
- Calculate  3562   The 16 cm long string is 6 cm from the circle's center. Calculate the length of the circle. The 16 cm long string is 6 cm from the circle's center. Calculate the length of the circle.
- Calculate  3526  Calculate the height size in the triangle ABC if the side length a = 20cm and the area of the triangle is 50 cm square. Calculate the height size in the triangle ABC if the side length a = 20cm and the area of the triangle is 50 cm square.
- Convex angle  There is a circle k (S; r), and a point A, which lies on this circle. There is also a point B on the circumference, for which it is true that in one direction, it is five times further from point A than in the opposite direction (around the circumference There is a circle k (S; r), and a point A, which lies on this circle. There is also a point B on the circumference, for which it is true that in one direction, it is five times further from point A than in the opposite direction (around the circumference
- The width  The width of a rectangular garden is 4 m less than the length. If the area of a rectangular garden is 96 square meters, what is the garden's dimension? The width of a rectangular garden is 4 m less than the length. If the area of a rectangular garden is 96 square meters, what is the garden's dimension?
- The diagonals  The diagonals of the KOSA diamond are 20 cm and 48 cm long. Calculate the circumference of the diamond in centimeters rounded to one unit. The diagonals of the KOSA diamond are 20 cm and 48 cm long. Calculate the circumference of the diamond in centimeters rounded to one unit.
- Dimensions of the trapezoid  One of the trapezoid bases is one-fifth larger than its height, and the second base is 1 cm larger than its height. Find the dimensions of the trapezoid if its area is 115 cm2 One of the trapezoid bases is one-fifth larger than its height, and the second base is 1 cm larger than its height. Find the dimensions of the trapezoid if its area is 115 cm2
- Difference of legs  In a right triangle, the hypotenuse length is 65 m, and the difference between legs is 23 m. Calculate the perimeter of this triangle. In a right triangle, the hypotenuse length is 65 m, and the difference between legs is 23 m. Calculate the perimeter of this triangle.
- Base of an isosceles triangle  Calculate the size of the base of an isosceles triangle; the height is 5 cm, and the arm's length is 6.5 cm. What is the perimeter of this triangle? Calculate the size of the base of an isosceles triangle; the height is 5 cm, and the arm's length is 6.5 cm. What is the perimeter of this triangle?
- A kite  ABCD is a kite. Angle OBC = 20° and angle OCD = 35°. O is the intersection of diagonals. Find angle ABC, angle ADC, and angle BAD. ABCD is a kite. Angle OBC = 20° and angle OCD = 35°. O is the intersection of diagonals. Find angle ABC, angle ADC, and angle BAD.
- Rectangular garden  Divide a square garden with a perimeter of 124 m into two rectangular gardens, with the fence of one garden 10 m longer than the fence of the other. What dimensions will these rectangular gardens be? Divide a square garden with a perimeter of 124 m into two rectangular gardens, with the fence of one garden 10 m longer than the fence of the other. What dimensions will these rectangular gardens be?
- 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. 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. The rhombus has diagonal lengths of 4.2cm and 3.4cm. Calculate the length of the sides of the rhombus and its height.
- Inscribed circle  The circle inscribed in a triangle has a radius of 3 cm. Express the area of the triangle using a, b, and c. The circle inscribed in a triangle has a radius of 3 cm. Express the area of the triangle using a, b, and c.
- 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? Trapezoid garden has parallel sides 19 m and 24 m. Its area is 193.5 square meters. What is the width of the garden?
- Parallelogram  71214   How big are the internal angles in the parallelogram when we know that the angle at one vertex is twice as large as the others? How big are the internal angles in the parallelogram when we know that the angle at one vertex is twice as large as the others?
- Triangle's  63774   Calculate the perimeter of an isosceles triangle if the triangle's height is 15 cm and the base is 16 cm. Calculate the perimeter of an isosceles triangle if the triangle's height is 15 cm and the base is 16 cm.
- Magnitude  23271   In an isosceles triangle, the angle at the primary vertex is 20 ° smaller than twice the magnitude of the angle at the base. What are the interior angles of a triangle? In an isosceles triangle, the angle at the primary vertex is 20 ° smaller than twice the magnitude of the angle at the base. What are the interior angles of a triangle?
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