Planimetrics - math word problems - page 56 of 183
Number of problems found: 3656
- Diagonal to area
Calculate the area of a rectangle in which the diagonal length is 10 cm.
- Largest angle of the triangle
What is the largest angle of the triangle if the second angle is 10° greater than twice the first and the third is 30° smaller than the second?
- Rectangle
Calculate the area of the rectangle if its length is 12 cm longer than its width and length is equal to the square of its width.
- Trapezoid v3
The isosceles trapezoid has an angle at the first base 40 degrees less than the angle at the second base. How large angles has this trapezoid?
- Rectangular field
One dimension of the rectangular field is 56 m greater than the second dimension. If each side of the rectangle increases by 10 m increases, the surface field is 1480 m². Find dimensions of the field.
- 3-bracket 3
Two angles in a triangle are 90° and 60°. Has the triangle at least two equal sides?
- Dusan
a) Dusan breaks two same windows, which have a triangular shape with a length of 0.8 m and a corresponding height of 9.5 dm. Find how much dm² of glass he needs to buy for the glazing of these windows. b) Since the money to fix Dusan has not been, it must
- Determine 83240
In triangle ABC, the internal angle beta is twice the size of the angle alpha, and the angle gamma is 20 degrees less than the size of the angle beta. Determine the size of all interior angles of this triangle.
- Trapezoid 78904
Calculate the middle crossbar of a trapezoid whose area is 111.8 cm² and height 6.5 cm.
- Circumference 65674
The circumference of the triangle is 125 cm. The shortest side is 12 cm shorter than the longest side. The longest side is 7 cm longer than the middle side. How long is the middle side?
- Triangle 5851
In a triangle, the first angle is half the second angle, and the third angle is the third of the first angle. How big are the angles in a triangle, and what is the type of triangle?
- Circumference 4420
In an isosceles triangle with a circumference of 36 cm, the height at the base is 12 cm. Calculate the length of the arm of a given triangle.
- Circumference 3170
Suppose we enlarge the side of the square by half the length, and the circumference of the square increases by 24 cm. Calculate the original side length.
- Circle - simple
The circumference of a circle is 683 mm. How long in mm is its diameter?
- A triangle 4
A triangle has a perimeter of 18a + 6b + 15 and has sides of lengths 5a + 7 and 8a +4b. What is the length of the third side? Write an expression and simplify it to find the solution to the problem.
- Interior angles - sum
For the sum s of the interior angles of a polygon, where n is the number of its sides, the relation s=(n−2)⋅180 degrees applies. How many sides does a polygon have if the sum of its interior angles is 900°?
- Circular segment
What is the radius of a circular section whose central angle is 36° and the area of S = 53.095 cm²?
- The rectangular
The rectangular trapezoid has bases 15 dm and 8 dm long, and the length of the inclined arm is 12 dm. How long is the other arm of the trapezoid?
- Three sides
Side b is 2 cm longer than side c, side a is 9 cm shorter than side b. The triangle circumference is 40 cm. Find the length of sides a, b, and c.
- Perimeter of a rectangle
If the perimeter of a rectangle is 114 meters and the length is twice the width plus 6 meters, what are the length and width?
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