A triangle has 2 sides length 5 and 12. Which of the following could be the perimeter of the triangle?

I. 20

II. 25

III. 30

A given circle has an area of . What is the length of its diameter?

Calculate the length of a chord in a circle with a radius of , given that the perpendicular distance from the center to the chord is .

has as its graph a vertical parabola on the coordinate plane. You are given that and , but you are not given .

Which of the following can you determine without knowing the value of ?

I) Whether the graph is concave upward or concave downward

II) The location of the vertex

III) The location of the -intercept

IV) The locations of the -intercepts, if there are any

V) The equation of the line of symmetry

Give the area of the above parallelogram if .

In the above diagram,

.

and . Give the area of .

In the -plane, point lies on a circle with center at the origin. The radius of the circle is 5. What is the value of ?

Which of the following is the area of a triangle on the coordinate plane with its vertices on the points , where ?

Two circles are constructed; one is inscribed inside a given equilateral triangle, and the other is circumscribed about the same triangle.

The circumscribed circle has circumference . Give the area of the inscribed circle.

Two angles of an isosceles triangle measure and . What are the possible values of ?