Pythagorean theorem - math word problems - page 33 of 73
Number of problems found: 1446
- Circumference 4421
The area of an equilateral triangle is 81 times three below the square root of cm². Calculate its circumference.
- Calculate 82696
In the triangle ABC, b=5 cm, c=6 cm, /BAC/ = 80° are given. Calculate the sizes of the other sides and angles, and further determine the sizes of the tangent tc and the area of the triangle.
- Hypotenuse, euclid
In a right-angled triangle, the hypotenuse has a length of 24 cm. The heel of the height on the hypotenuse divides it into two parts in a ratio of 2:4. What size in cm is the height at the hypotenuse? Calculate the perimeter of this right triangle in cent
- The tractor
The tractor sows an average of 1.5 ha per hour. How many hours does it sow a rectangular trapezoid field with 635m and 554m bases and a long arm of 207m?
- Against 6754
A ladder leans against the wall. It touches the wall at the height of 240cm. Its lower end is 100 cm distant from the wall. How long is the ladder?
- Colored area
How large is the area colored brown inside a square of side 6 cm if each of the four brown circular segments is from a circle with a radius of the length of the square's side? The length of the circular segments is equal to the length of the side of the s
- Outside point
The square ABCD and the point E lying outside the given square are given. What is the area of the square when the distance | AE | = 2, | DE | = 5 a | BE | = 4?
- Quarter circle
What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm?
- A truck
A truck departs from a distribution center. From there, it goes 20km west, 30km north and 10km west and reaches a shop. How can the truck reach back to the distribution center from the shop (what is the shortest path)?
- Diamond diagonals
Calculate the diamonds' diagonal lengths if the diamond area is 156 cm square and the side length is 13 cm.
- Isosceles triangle
An isosceles triangle with base c and arms a is given by: a = 50.3 cm c = 48.2 cm Determine the interior angles and heights of the base c.
- A goat
In the square garden of side (a), a goat is tied in the middle of one side. Calculate the length of the rope (r) so that the goat grazes exactly half the garden. If r = c * a, find the constant c.
- Rectangle
The length of the rectangle is in the ratio of 5:12, and the circumference is 238 cm. Calculate the length of the diagonal and the area of the rectangle.
- Carpet
The room is 10 x 5 meters. You have the role of carpet width of 1 meter. Make a rectangular cut of a roll. That piece of carpet will be the longest possible and will fit into the room. How long is a piece of carpet? Note: The carpet will not be parallel w
- Rope slack
Between two streets, 20 m away, give the lamp in the middle and hang 60 cm below the taut rope. Can it be done with a 20.5 meters rope?
- Forces
Determine the resultant of two perpendicular forces F1 = 560 N and the second force 25% smaller.
- R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter?
- Circle and square
An ABCD square with a side length of 100 mm is given. Calculate the circle’s radius that passes through vertices B, C, and the center of the side AD.
- Difference - altitude
The distance as the crow flies between Dolní and Horní Ves is 3 km, and the steady climb is 5%. What is the height difference between Horní and Dolní Ves rounded to the nearest meter?
- Flakes
A circle was inscribed in the square. We draw a semicircle above each side of the square as above the diameter. This resulted in four chips. Which is bigger: the area of the middle square or the area of the four chips?
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