Equation + Pythagorean theorem - practice problems
Number of problems found: 185
- Calculate
Calculate the length of a side of the equilateral triangle with an area of 50cm². - Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find the value of x - 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. - Find radius
Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r - 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. - Equation 81932
Write the general equation of a circle with point S(2;5) and point B(5;6) lying on this circle. - Perpendicular 5516
In a right triangle, one perpendicular is 1 m shorter than the hypotenuse. The other perpendicular is 2 m shorter than the hypotenuse. Find the lengths of all sides of the triangle. - 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. - Equation of the circle
Find an equation of the circle whose diameter has endpoints (1,-4) and (3,2). - Equilateral triangle
Calculate the area of an equilateral triangle with a circumference of 72cm. - Ladder
A 4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall? - Distance problem
A=(x, x) B=(1,4) Distance AB=√5, find x; - Equation of circle
Find an equation of the circle with indicated properties: a. center at (-3,5), diameter 20. b. center at origin and diameter 16. - Rectangle SS
The perimeter of a rectangle is 268 cm, and its diagonal is 99.3 cm. Determine the dimensions of the rectangle. - Construct 5868
Construct a square if u-a = 1 - Equal distance
Find the equation for all the points (x, y) that are equal in distance from points A(5,-2) and B(-2,10). - The sides
The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle.
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