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If A,B,C are noncollinear in a metric geometry prove that triangle ABC is convex.
The perimeter of a building is 74'by 59'by 103'by 121'. How can the square footage of the building be calculated?
Draw an acute scalene triangle. Label the vertices A, B,C on the interior of each angle.
Given triangle ABC, prove that an internal bisectors of an angle of a triangle divides the opposite sides (internally).
Geometry has many practical applications in everyday life. Estimating heights of objects, finding distances, and calculating areas and volumes are common place.
Show how to construct a triangle given the length of one side, the distance from an adjacent vertex to the incenter and the radius of the incircle.
A wire 10 meters long is to be cut into two pieces. One piece will be shaped as an equilateral triangle, and the other piece will be shaped as a circle.
Prove the first half of the open-jaw inequality where the point G lies inside triangle DEF i.e. show that if x less than y => AC < DF.
Let (triangle DEF) be equilateral triangle and Q is a point inside. Prove that the sum of the three distances from Q to each side is equal to the altitude DD'.
A surveyor finds that a tree on the opposite bank of a river has a bearing of N 22 degrees 30'E from a certain point and a bearing of N 15 degrees.
Show the necessary steps for finding the length of each side of a regular hexagon if opposite sides from midpoint to midpoint are 18 inches apart.
Find a rational expression for the perimeter of the triangle (your final expression must contain only one term).
Angle A is adjacent to the side of 8, and angle B is adjacent to the side with the length of 15. The tan A=?
Explain how you would find the coordinates of the point of intersection of the altitude BP and the median AM.
Each side of a rhombus measures 10 inches. If one diagonal of the rhombus is 12 inches long, what is the length of the other diagonal?
Side of first area/ side of second area/ side of third area/ side of fourth area?
Area of a triangle. If the base of a triangle is 8x+16 yards and its height is 1/(x+2) yards, then what is the area of the triangle?
What is the minimum length of the two routes needed to supply the connecting service?
If we have a triangle ABC, then prove that the internal and external bisectors of the angle of a triangle are perpendicular (assume for angle A)
Show how to construct a triangle given the lenght of one side, the size of an adjacent angle and the lenght of the median from that angle.
Stan is standing on the bank of a river wearing a baseball cap. Standing erect and looking directly at the other bank.
Explain how to compute the volume of a regular tetrahedron of edge length 1.
If ABC is a 30-60-90 triangle, with angle ACB at 30 degrees, and line segment AC is the diameter of the circle, then if the length of line segment.
A parent group wants to double the area of a playground. The measurements of the playground are width is 2W and the length is 2L.
If each of two isosceles triangles has an angle that measures 120 degrees, then the two isosceles triangles must be similiar.