Pythagorean theorem - math word problems - page 28 of 73
Number of problems found: 1453
- Rectangle SS
The perimeter of a rectangle is 154 dm, and its diagonal is 62.36 dm. Find the dimensions of the rectangle. - Isosceles trapezoid area
Calculate the area of an isosceles trapezoid ABCD, whose longer base measures 48 cm, the shorter base measures 3/4 of the longest base, and the leg of the trapezoid measures 2/3 of the longer base. The result is rounded to the nearest hundredth. - Beam diameter
What diameter must the trunk of a tree have to carve a beam with a square cross-section of 20 cm on it? - Stairway
The stairway has 20 steps. Each step is 22 cm long and 15 cm high. Calculate the length of the handrail of staircases if the top and bottom exceed 10 cm. - Rhombus - diagonals
Rhombus ABCD has side a = 80 cm and side b = 50 cm. Diagonals u1 and u2 make an angle of 60 degrees with each other. Calculate the area of the rhombus. - Rhombus diagonal perimeter
How do I find the diagonals of a rhombus if its perimeter is 80dm and one diagonal is 2x larger than the other? - The rectangle 5
The rectangle OABC has one vertex at O, the center of a circle, and a second vertex, A, 2 cm from the edge of the circle, as shown. The vertex A is also 7 cm from C. The points B and C lie on the circumference of the circle. a. What is the radius? b. Find - Railway descent permille
Calculate the permille descent of the railway line in the section of 7.2 km by 21.6 m. - Observation angle
At what angle of view does an object 70 m long appear to the observer, 50 m away from one end and 80 m from the other end? - Ladder wall length
A ladder leans against the wall. It touches the wall at the height of 340 cm, and its lower end is 160 cm away from the wall. How long is the ladder? Express the result to the nearest centimeter. - Diagonals of rhombus
Find the length of the diagonal AC of the rhombus ABCD if its perimeter P = 112 dm and the second diagonal BD has a length of 36 dm. - Ski lift height
What height difference does the 2.5 km long ski lift overcome when the horizontal distance of the entry and exit station is 1200 meters? - Traffic sign
There is a traffic sign for climbing on the road with an angle of 7%. Calculate at what angle the road rises (falls). - A rectangle 2
A rectangle has a diagonal length of 74cm. Its side lengths are in a ratio of 5:3. Find its side lengths. - Medians in right triangle
It is given a right triangle, and angle C is 90 degrees. I know it medians t1 = 8 cm and median t2 = 12 cm. How to calculate the length of the sides? - Washers Glass Area Hexagon
How many dm² of organic glass is needed to produce 50 washers in the shape of a regular hexagon? The side is 8 cm long. - The sides 2
The sides of a trapezoid are in the ratio 2:5:8:5. The trapezoid's area is 245. Find the height and the perimeter of the trapezoid. - Right isosceles triangle
The right isosceles triangle has an altitude x drawn from the right angle to the hypotenuse, dividing it into two equal segments. One segment is 5 cm long. What is the area of the triangle? - Triangle RT - land
The land in the shape of a right triangle has an area of 96 m². How many meters of mesh do we need to fence if one of its sides is 12 meters long? - Rhombus and diagonals
The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height.
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