Pythagorean theorem - math word problems - page 29 of 73
Number of problems found: 1446
- Pythagorean 81883
Hello, I have a problem calculating the height on side z in the general triangle XYZ, where z=4 cm, x=1.5 cm, and y=3.7 cm. It was assigned in 8th grade when discussing the Pythagorean theorem. Thank you.
- Determine 81756
The area for shooting training has the shape of a trapezoid, the parallel sides of which are 36m, 21m long, and the remaining sides are 14m, 16m long. Determine the size of the interior angles with a longer base.
- Consumption 80836
The right trapezoidal plot has a basic length of 102m and 86m. The vertical arm is 63 m long. Calculate the plot’s area and the mesh consumption for its fencing.
- Right-angled 66344
From a square with a side of 4 cm, we cut four right-angled isosceles triangles with right angles at the square's vertices and with an overlap of √2 cm. We get an octagon. Calculate its perimeter if the area of the octagon is 14 cm².
- Rectangular 6255
The lengths of the sides of the rectangular garden are in the ratio of 1:2. The connection of the centers of the adjacent sides is 20 m long. Calculate the perimeter and area of the rectangle.
- Square s3
Calculate the square's diagonal, where its area is 0.49 cm square. And also calculate its circumference.
- ISO Triangle V2
The perimeter of the isosceles triangle is 474 m, and the base is 48 m longer than the arms. Calculate the area of this triangle.
- Heron backlaw
Calculate the unknown side in a triangle with sides 39 and 38 and area 438.6.
- Ladder
How long is a ladder that touches a wall 4 meters high and has a lower part 3 meters away from the wall?
- Rhombus diagonals
In the rhombus ABCD, the sizes of the diagonals e = 24 cm and f = 10 cm are given. Calculate the side length of the diamond and the size of the angles, and then calculate the area of the diamond.
- Triangle in a square
In a square ABCD with side a = 6 cm, point E is the center of side AB, and point F is the center of side BC. Calculate the size of all angles of the triangle DEF and the lengths of its sides.
- Compute 4
Compute the exact value of the triangle area with sides 14 mi, 12 mi, and 12 mi long.
- Face of the house
How tall is the roof of a house in the shape of an isosceles triangle with a base length of 8 meters and an arm 5 meters long?
- Described circle to rectangle
The rectangle with 6 cm and 4 cm sides was a circumscribed circle. What part of the circle area determined by the circumscribed circle occupies a rectangle? Express in perctentages(%).
- The cellar
Mr. Novák has a cellar, and the cellar window in the chalet is a 0.6-meter square window. The window wishes to place an X-shaped grid in a square. He uses iron welded bars. Calculate the lengths of individual bars and the total length of the bars he has t
- Cableway
The cableway has a length of 1800 m. The horizontal distance between the upper and lower cable car station is 1600 m. Calculate how much meters altitude is higher upper station than at the base station.
- Percentage 82591
A new path is to lead through Mr. Milan's garden – diagonally. By what percentage of the area of the park will it decrease? The length is 23.8 m, the width is 16.7 m, and the road width is 6 m.
- Intersection 81457
Two cars started from the right-angled intersection of two roads. The first at a speed of 80 km/h and the second at a speed of 60 km/h. How fast are they moving away from each other?
- Distance 79874
The mast is 190m high and is attached to six ropes which are anchored in the ground at a distance of 20m from the base of the mast. How many meters of rope were needed?
- Circumference 46171
Calculate the circumference and area of a rectangle with one side 6 cm long and a diagonal 10 cm long.
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