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    Triangles

    Triangle angles

    Given triangle ABC with no angle >120 degrees, find and construct the point P for which PA + PB + PC is a minimum. What is this point called? What would be the case for a triangle with an angle of 120 degrees or more?

    Symbolic Logic : Symbolic Notation

    Determine whether or not the argument below is valid. Transcribe it into symbolic notation and if it is valid, provide a derivation of the conclusion from the premises using only primitive rules of inference. The area of a triangle is the area of a three sided figure. Since triangles are three sided.

    Metric space and triangle inequality.

    Prove that in a metric space, if C lies between A and B and O is any other point, then OC<=OA + OB. (Hint make 3 applications of the triangle inequality) Triangle inequality: For triangle ABC AB+BC=>AC

    Two triangles: The lengths of the sides opposite the angles.

    In this question ABC and PQR are two triangles, and the lengths of the sides opposite the angles A,B,C P, Q, R are a,b,c,p,q,r, respectively. Choose the THREE false statements. Options. A. If angle A= angle Q and angle B= angle P. then it must follow that c b --- = -- r p B. I

    The Radius of the Circumscribed circle for a triangle

    The circumscribed circle is the circle passing through the three vertices of a triangle ABC. Assume the following results from geometry. The perpendicular bisectors of the sides of a triangle meet in a point O that is the center of the circumscribed circle. a) According to a theorem from geometry, the measure of the angle

    Perimeter and area of triangle

    In triangle ABC, the lengths of line AB and line BC equal 13 centimeters. If the perimeter of triangle ABC is 36 centimeters, what is the area in square centimeters of triangle ABC?

    Total area of a triangle

    A 1 acre field in the shape of a right triangle has a post at the midpoint of each side. A sheep is tethered to each of the side of the post on the hypotenuse. The ropes are just long enough to let each animal reach the two adjacent vertices. What is the total area the two sheep have to themselves?

    Geometric proof

    Prove that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices.

    Right triangles

    How do I find the third angle in a right angle triangle if I know one of the angle's is 65 deg?