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

A right triangle has legs with lengths of 24 centimeters and 21 centimeters.If the length of this triangle's hypotenuse, in centimeters, can be written in the form , where d is an integer, what is the value of d?

A square is inscribed in a circle. The radius of the circle is inches. What is the side length, in inches, of the square?

In the figure shown, \( AD=\frac{121}{3} \)  and \( AB=\frac{11\sqrt{130}}{3} \) . What is the length of \( DC \) ?

A right triangle has legs with lengths of 11 centimeters and 9 centimeters. What is the length of this triangle's hypotenuse, in centimeters?

The figure shows the lengths, in inches, of two sides of a right triangle. What is the area of the triangle, in square inches?

In triangle ABC, angle B is a right angle. The length of side AB is \( 10\sqrt{37} \)and the length of side BC is \( 24\sqrt{37} \). What is the length of side AC?

A rectangle is inscribed in a circle, such that each vertex of the rectangle lies on the circumference of the circle. The diagonal of the rectangle is twice the length of the shortest side of the rectangle. The area of the rectangle is 1,089\( \sqrt{3} \)  square units. What is the length, in units, of the diameter of the circle?

One leg of a right triangle has a length of 43.2 millimeters. The hypotenuse of the triangle has a length of 196.8 millimeters. What is the length of the other leg of the triangle, in millimeters?

A right triangle has legs with lengths of 24 centimeters and 21 centimeters. If the length of this triangle's hypotenuse, in centimeters, can be written in the form \( 3\sqrt{d} \), where d is an integer, what is the value of d?

In the figure above, BD = 6 and AD = 8 . What is the length of \( DC \) ?

In triangle ABC, the measure of angle B is 90° and BD is an altitude of the triangle. The length of AB is 15 and the length of AC is 23 greater than the length of AB. What is the value of \( \frac{BC}{BD} \) ?