Integer equation + triangle - practice problems
Number of problems found: 7
- 11990 perimeter RT
A right triangle has integer side lengths and a perimeter of 11990. In addition, we know that one of its perpendiculars has a prime number length. Find its length. - The perimeter
The perimeter of the triangle is 24, and the sides are integers and form an arithmetic sequence. Specify the side sizes of this triangle. - Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side? - Circumference 9811
Kristýna chose a certain odd natural number divisible by three. Jakub and David then examined triangles with a circumference in millimeters equal to the number selected by Kristýna and whose sides have lengths in millimeters expressed by different integer
- Centimeters 5681
The triangle has side lengths expressed in whole centimeters. One of them measures 8 cm, and the sum of the remaining two sizes is 32 cm. Determine the lengths of the remaining sides. Find all solutions. - Nice prism
Calculate the cuboid's surface if the sum of its edges is a + b + c = 19 cm and the body diagonal size u = 13 cm. - Points on circle
The Cartesian coordinate system with the origin O is a sketched circle k /center O; radius r=2 cm/. Write all the points that lie on a circle k and whose coordinates are integers. Write all the points on the circle I with center O and radius r=5 cm, whose
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