• Q : Finding maximum area....
    Mathematics :

    An isosceles triangle has two equal sides of length 10cm. Let theta be the angle between the two equal sides.

  • Q : Finding area of shaded region....
    Mathematics :

    Find the area of the shaded region on the following geoboard if the unit of measurement is 1 cm2.

  • Q : Problem on koch snowflake....
    Mathematics :

    Start by drawing an equilateral triangle: we will call this T1 as it is the first step in the process.

  • Q : Relation between triangle centroid and orthocenter....
    Mathematics :

    How would you explain the difference between angle-angle-side, angle-side-angle, and side-angle-side to a classmate who thinks the letters look alike?

  • Q : Finding triangles with integer sides....
    Mathematics :

    Find five triangles with integers sides (without no commun divisors) such that the median AD from angle A to side BC is m(a) = b + c - a.

  • Q : Problem on shape combinations....
    Mathematics :

    Draw 3 different shapes, then draw a shape you can make by combining the 3 shapes.

  • Q : Finding area of a triangle....
    Mathematics :

    Angles PQR and ABC are supplementary angles, and angle PQR is nine times as large as angle ABC. Determine the measure of each angle.

  • Q : Finding the coordinates....
    Mathematics :

    Construct the quadrature of 3 squares. Let a = 3 be a line segment that extends along the y-axis from the origin O to the point B at (0,3).

  • Q : Pascals triangle and binomial theorem....
    Mathematics :

    Use Pascal's triangle to expand (x + y)6 How is the sum of the entries in row 5 in Pascal's triangle related to powers of 2?

  • Q : Problem on building a ski-ramp....
    Mathematics :

    Write an inequality in the variable x for the degree measure of the smallest angle of a triangle given that the degree measure of the smallest angle.

  • Q : Studying laws of sines....
    Mathematics :

    Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle.

  • Q : Finding angle and length of a post....
    Mathematics :

    A 5 foot post is supposed to be vertical, but it is 4 inches out of alignment at the top. What is the angle of lean, round to the nearest tenth of a degree?

  • Q : Finding the centroid of a triangle....
    Mathematics :

    Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians, which is the point that lies one-third of the way.

  • Q : Non-euclidean geometry on a sphere....
    Mathematics :

    Suppose instead of working on the Euclidean plane we study geometry on a sphere in (Euclidean) three space.

  • Q : Finding sum of three angles....
    Mathematics :

    In a triangle the sum of the angles is 180 degrees. If Angle A is four times Angle B and Angle C is 27 degrees more than three times Angle A.

  • Q : Proving the existance of hyperbolic rectangle....
    Mathematics :

    The formal definition of a rectangle is a quadrilateral with four right angles therefore this figure does not exist in hyperbolic geometry.

  • Q : Proof for the triangle....
    Mathematics :

    If the circumcenter of a triangle lies on a median of that triangle, the triangle is isosceles. Write the given and prove parts based on the diagram.

  • Q : Problem on how far apart are the girls....
    Mathematics :

    A rescue Helicopter at an altitude of 200 m spots two lost girls at the same time. Xavia is at an angle of depression of 13 degree.

  • Q : Finding minimum and maximum limits....
    Mathematics :

    Find the minimum and maximum limits for the length of the third side of a triangle if the other two sides and 83' and 117'.

  • Q : Force diagram for forces acting on chandelier....
    Mathematics :

    Both ends of a rope of length 4.8m are attached to a horizontal beam, at points 4.2m apart. A chandelier hangs on the rope, 1.2m from one of its ends.

  • Q : Triangle coordinates after reflection and mapping....
    Mathematics :

    The coordinates of triangle a'b'c', the image of triangle abc after a reflection in the x-axis are a'------, ----- b'-----, ----- c'-----, -----?

  • Q : Creating sketch of tangency of three circles....
    Mathematics :

    Create two tangent circles with centers A and B. For convenience sake, let circle A have the larger radius.

  • Q : Nonparallel lines tangent to a circle....
    Mathematics :

    Two distinct, nonparallel lines are tangent to a circle. See picture below. The measurement of the angle between the two lines is 54° (angle QVP).

  • Q : Finding area of segment of a circle....
    Mathematics :

    In a circle of radius 6 centimeters, find the area of the segment bound by an arc of measure 120 degrees.

  • Q : Problem on tangent circles....
    Mathematics :

    Two congruent semicircles lie on the diameter of a third semicircle, each tangent to the other two. A small circle is tangent to all three semicircles.

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