# Equation + Pythagorean theorem - math problems

#### Number of problems found: 115

- Find radius

Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r - Proof PT

Can you easily prove Pythagoras theorem using Euclidean theorems? If so, do it. - Equation of circle 2

Find the equation of a circle which touches the axis of y at a distance 4 from the origin and cuts off an intercept of length 6 on the axis x. - Find the 13

Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3] and C[9, 4]. - 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. - Sphere equation

Obtain the equation of sphere its centre on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1). - Calculate

Calculate the length of a side of the equilateral triangle with an area of 50cm^{2}. - Distance problem

A=(x, x) B=(1,4) Distance AB=√5, find x; - Leg and height

Solve right triangle with height v = 9.6 m and shorter cathetus b = 17.3 m. - Circle - AG

Find the coordinates of circle and its diameter if its equation is: ? - Right

Determine angles of the right triangle with the hypotenuse c and legs a, b, if: ? - Distance problem 2

A=(x,2x) B=(2x,1) Distance AB=√2, find value of x - Find parameters

Find parameters of the circle in the plane - coordinates of center and radius: ? - Catheti

The hypotenuse of a right triangle is 41 and the sum of legs is 49. Calculate the length of its legs. - Rhombus

The rhombus with area 68 has one diagonal is longer by 6 than second one. Calculate the length of the diagonals and rhombus sides. - Ladder

4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall? - Equilateral triangle

Calculate the area of an equilateral triangle with circumference 72cm. - Triangle

Calculate the sides of the triangle if its area S = 630 and the second cathethus is shorter by 17. - Circle

Write the equation of a circle that passes through the point [0,6] and touch the X-axis point [5,0]: ? - Semicircle

To a semicircle with diameter 10 cm inscribe square. What is the length of square sides?

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