Pythagorean theorem - math word problems - page 18 of 74
Number of problems found: 1468
- The ditch
Ditch with a cross-section of an isosceles trapezoid with bases 2 m and 6 m deep 1.5 m. How long is the slope of the ditch? - Circle chord
Calculate the length of the chord of the circle with radius r = 10 cm, the length of which is equal to the distance from the circle's center. - Mast height
The high voltage mast fastens 30 m long ropes at 2/3 of the mast height. How tall is the mast if the ropes anchor at 15 m from the mast? - Semicircle
To a semicircle with a diameter of 10 cm, inscribe a square. What is the length of the square sides? - Dragon altitude
The kite is tied to a string 85 meters long and hovers over a place 60 meters away from us. Calculate how high the dragon hovers. - Umbrella
Can a 75 cm umbrella fit into a box of fruit? The box's dimensions are 390 mm by 510 mm. - Length IT
Find the length (circumference) of an isosceles trapezoid in which the length of the bases a,c, and the height h is given: a = 8 cm c = 2 cm h = 4 cm. - Chord 4
I need to calculate the circumference of a circle, and I know the chord length c=16 cm and the distance from the center d=15 cm chord to the circle. - Euclid 5
Calculate the length of remain sides of a right triangle ABC if a = 7 cm and height vc = 5 cm. - Logs
The log has a diameter of 30 cm. What largest beam with a rectangular cross-section can be carved from it? - Ladder
10 meters long ladder is leaning against the wall of the well, and its lower end is 1 meters from this wall. How high from the bottom of a well is the top edge of the ladder? - Chord - TS v2
The radius of circle k measures 72 cm. Chord GH = 11 cm. What is TS? - Rhombus
Calculate the length of the diagonal AC of the rhombus ABCD if its perimeter is 524 dm and the other diagonal BD has length 159 dm. - Medians
Calculate the sides of a right triangle if the length of the medians to the legs are ta = 25 cm and tb=30 cm. - R triangle
Calculate the area of a right triangle whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg. - Circle and chord
The chord of a circle is 233 long, and the length of the circular arc above the chord is 235. What is the circle's radius, and what is the central angle of the circular arc? - Intersection + tangents
Given a circle with a radius r = 4 cm and a point A for which |AS| applies = 10 cm. Calculate the distance of point A from the intersection of the points of contact of the tangents drawn from point A to the circle. - Right-angled - legs
The lengths of legs are a = 7.2 cm and b = 10.4 cm in the right-angled triangle ABC. Calculate: a) lengths of the sections of the hypotenuse b) height to the hypotenuse c - Triangle base perimeter
In an isosceles triangle, the side a=b= 21 cm, and the triangle's height is 19 cm. Find out the base and perimeter of the triangle (sketch, calculation, answer). - Quadrilateral perimeter angles
Quadrilateral ABCD has side lengths AB=13 cm, CD=3 cm, AD=4 cm. Angles ACB and ADC are right angles. Calculate the perimeter of quadrilateral ABCD.
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