Search problems

13 problems match “Pythagorean theorem”. Clear

Visitors search a sample. Sign in for free to search every problem. Sign in

11. Sum of possible areas of a square ●●●○○ 50 ptsA square in the $xy$-plane has area $A$, and three of its vertices have $x$-coordinates 2, 0, and 18 in some order. Find the sum of all possible values of $A$.
12. Rectangle area with vertices on a hyperbola ●●●○○ 50 ptsThe diagonals of a rectangle are both 10 and intersect at $(0,0)$. All four vertices of the rectangle lie on the curve $y=\frac{12}{x}$. Calculate the area of the rectangle.
13. Hypotenuse from two cone volumes ●●●○○ 50 ptsWhen a right triangle is rotated about one leg, the volume of the cone produced is $800\pi \text{ cm}^3$. When the triangle is rotated about the other leg, the volume of the cone produced is $1920\pi \text{ cm}^3$. What is the length (in cm) of the hypotenuse of the triangle?

← Previous