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A right isosceles triangle has an area of 48 square units. What is the length, in units, of the hypotenuse?

 A square is inscribed in a circle with radius 43 inches. If the perimeter of the square is \( a\sqrt{2} \) inches, what is the value of  a ?

A rectangle is inscribed in a circle, such that the diagonal of the rectangle is twice the length of its shortest side. The area of the circle is \( 3,969π \) square units. What is the perimeter, in units, of the rectangle?

For the right triangle shown, which expression represents the value of b?

A right triangle has legs with lengths of 22 centimeters and 20 centimeters. What is the length of this triangle's hypotenuse, in centimeters?

A right triangle has legs with lengths of 18 centimeters and 16 centimeters. What is the length of this triangle's hypotenuse, in centimeters?

In quadrilateral KLMN shown, KL = 3, LM = 3, KN = 23, and MN = 23. Diagonals KM and LN (not shown) intersect at point G (not shown), where GK = 1 and GM = 1. If the length of diagonal LN is \( \sqrt{p}+\sqrt{w} \), where p and w are integers, what is the value of \( p+w \)?

A right triangle has legs with lengths of 28 centimeters and 24 centimeters. What is the length of this triangle's hypotenuse, in centimeters?

A right triangle has sides of length \( 2\sqrt{2} \) , \( 6\surd 2 \), and \( \surd 80 \) units. What is the area of the triangle, in square units?

For the right triangle shown, \( a=4 \) and \( b=5 \). Which expression represents the value of c?

A square is inscribed in a circle. The radius of the circle is \( \frac{20\sqrt{2}}{2} \) inches. What is the side length, in inches, of the square?

An isosceles right triangle has a hypotenuse of length 58 inches.What is the perimeter, in inches, of this triangle?