Pythagorean theorem - high school - practice problems
Number of problems found: 599
- 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. - Vector 7
Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|. - 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. - Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find the value of x - 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. - Octahedron in a cube
What largest octahedron can we place inside a cubical box with sides equal to 72? - 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. - Center
Calculate the coordinates of the circle center: x² -4x + y² +10y +25 = 0 - Equation 81932
Write the general equation of a circle with point S(2;5) and point B(5;6) lying on this circle. - Diamond
Calculate the length of the two diagonals of the diamond if: a = 13 cm v = 12 cm - Vectors abs sum diff
The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|. - Distance between 2 points
Find the distance between the points (7, -9), (-1, -9) - Medians and sides
Determine the size of a triangle KLM and the size of the medians in the triangle. K=(-5; -6), L=(7; -2), M=(5; 6). - 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.
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