Pythagorean theorem - high school - practice problems
Number of problems found: 596
- Laws
From which law directly follows the validity of Pythagoras' theorem in the right triangle? ... - ABS CN
Calculate the absolute value of the complex number -15-29i. - Euclid2
The ABC right triangle with a right angle at C is side a=29 and height v=17. Calculate the perimeter of the triangle. - Isosceles IV
In an isosceles triangle ABC is |AC| = |BC| = 13 and |AB| = 10. Calculate the radius of the inscribed (r) and described (R) circle. - RT and circles
Solve the right triangle if the radius of the inscribed circle is r=9 and the radius of the circumscribed circle is R=23. - Catheti
The hypotenuse of a right triangle is 41, and the sum of legs is 49. Calculate the length of its legs. - One leg
One leg of a right triangle is 1 foot longer than the other leg. The hypotenuse is 5 feet. Find the lengths of the three sides of the triangle. - Annular area
The square with side a = 1 is inscribed and circumscribed by circles. Find the annular area. - Circle chord
Determine the circle's radius in which the chord 6 cm away from the center is 12 cm longer than the circle's radius. - Leg and height
Solve right triangle with height v = 9.6 m and shorter cathetus b = 17.3 m. - Diamond
Calculate the length of the two diagonals of the diamond if: a = 13 cm v = 12 cm - Rhombus
The rhombus with area 137 has one diagonal that is longer by 5 than the second one. Calculate the length of the diagonals and rhombus sides. - Euklid4
The legs of a right triangle have dimensions 244 m and 246 m. Calculate the length of the hypotenuse and the height of this right triangle. - Equilateral triangle v2
An equilateral triangle has a perimeter 36 dm. What is its area? - Goniometric form
Determine the goniometric form of a complex number z = √ 110 +4 i. - Greatest angle
Calculate the greatest triangle angle with sides 124, 323, 302. - Moivre 2
Find the cube roots of 125(cos 288° + i sin 288°). - Euclid 5
Calculate the length of remain sides of a right triangle ABC if a = 7 cm and height vc = 5 cm. - Inscribed rectangle
The circle area is 216. Determine the area of the inscribed rectangle with one side 5 long. - Square and circles
Square with sides 83 cm is circumscribed and inscribed with circles. Determine the radiuses of both circles.
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