Planimetrics - math word problems - page 129 of 178
Number of problems found: 3557
- Shape
The plane shape has a maximum area 677 mm². Calculate its perimeter if the perimeter is the smallest possible.
- Determine 82478
Determine the equation of the parabola that has the point F = [3,2] as its focus and the line x+y+1=0 as its shift line.
- Coordinates of line points
I have a point A=[2,1] and a line y+x-5=0. How do I determine the coordinates of point A', which is the image of point A according to the given straight line?
- Isosceles right triangle
The area of an isosceles right triangle is 18 dm². Calculate the length of its base.
- Determine 82394
Determine the equation of the circle that passes through the point M(-1,2) and N( 3,0) and whose center lies on the line p: x=-3+t, y=-1+t,
- Base and longest side
The base of a right-angled triangle is 10 centimeters, and the longest side is 26 centimeters. What is the area of the triangle?
- Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How long is its longest side?
- Square to rectangle
A square has a side, and a rectangle has a width of 2 x and a length of 3. What is the ratio of the area between a square and a rectangle?
- angles in quadrilateral
What size have angles in quadrilateral (4-gon) if they are in a ratio of 8:9:10:13?
- Hypotenuse and height
In a right triangle is length of the hypotenuse c = 54 cm and height hc = 25 cm. Determine the length of both triangle legs.
- Circumscribed triangle
Calculate the radius of the circle of the circumscribed triangle, which has side dimensions of 8, 10, and 14 cm.
- Father and son
Father and son are 74 years old together. The son is 30 years younger than the father. How old is the son?
- A Cartesian framework
1. In a Cartesian framework, the functions f and g we know that: The function (f) is defined by f (x) = 2x², the function (g) is defined by g (x) = x + 3, the point (O) is the origin of the reference, and point (C) is the point of intersection of the grap
- Calculate 6
Calculate the distance of point A[0, 2] from a line passing through points B[9, 5] and C[1, -1].
- Calculate 82144
Calculate the height of side b (v_b) of triangle ABC with vertices A[4;1;3] B[2;3;3] and C[1;1;3].
- Find parameters
Find parameters of the circle in the plane - coordinates of center and radius: x²+(y-3)²=14
- Leg and height
Solve right triangle with height v = 7.8 m and shorter cathetus b = 15 m.
- 3d vector component
The vector u = (3.9, u3), and the length of the vector u is 12. What is, is u3?
- Calculate
Calculate the length of a side of the equilateral triangle with an area of 50cm².
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