Planimetrics - math word problems - page 126 of 178
Number of problems found: 3557
- Right triangle
The legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
- Perpendicular 82473
In the right triangle KLM, the hypotenuse l = 9 cm and the perpendicular k = 6 cm. Calculate the size of the height vl and the line tk.
- Calculate 70814
The lengths of the sides AB and AD of the rectangle ABCD are in the ratio 3:4. A circle k with a diameter of 10 cm describes a rectangle. Calculate the side lengths of a given rectangle.
- Perpendicular 67174
Calculate the perpendicular s in the right triangle STU (the right angle at the vertex U), if the hypotenuse is long u = 93cm and the perpendicular t = 48 cm
- Trapezoid 65644
In an isosceles trapezoid, the base ratio a / c = 9/7, arm b = 10 cm, height v = 8 cm. Calculate the area of the trapezoid in cm².
- Square
If we increase the side of the square, increase its area of 50%. What is the percentage we increase the side of the square?
- Sprinkler 80801
A sprinkler is located in the park at a distance of 3m from the sidewalk. Water blasted up to a distance of max. 5m. What is the maximum length of the sidewalk it will cover?
- A cell tower
A cell tower is located at coordinates (-5, -7) and has a circular range of 12 units. If Mr. XYZ is located at coordinates (4,5), will he be able to get a signal?
- RT area
A right triangle has an area of 54cm². Calculate the sizes of both legs if the shorter leg is 75% of the size of the longer leg.
- The ratio 7
The ratio of the sides of two squares is 4:5. If the sum of their areas is 180 cm². Find the sides of the two squares.
- Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are in the ratio of 4:3; leg b = 13 cm and height = 12 cm.
- n-gon
Gabo draws an n-gon, in which angles are consecutive members of an arithmetic sequence. The smallest angle is 70° biggest 170°. How many sides have Gabo's n-gon?
- Perpendicular 73574
The two lines of the triangle are perpendicular to each other and are 27 cm and 36 cm. Calculate the length of the sides of the triangle and the length of the third line.
- Similarity
ABC is a triangle wherein a = 4 cm, b = 6 cm, c = 8 cm. Is it similar to the triangle DEF: d = 3 cm, e = 4.5 cm, f = 6 cm? If so, determine the ratio of similarity.
- Distance
Calculate the distance between two points K[6; -9] and G[5; -1].
- FX parabola
Determine the equation of the parabola going through the following co-ordinates (1;2), (-1;-2), and (2;7)
- Calculate 73024
Calculate the permille descent of the railway line in the section of 7.2 km by 21.6 m.
- Increase 65794
The area of the square is 36 cm². What will be the area of the square if we increase the length of a side by 25%?
- Largest squares
How many of the largest square sheets did the plumber cut the honeycomb from 16 dm and 96 dm?
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