Geometry Answers

Triangle PQR is inscribed in a circle with PR as a diameter. The perpendicular from P to the tangent at Q meets the tangent at S. Prove that PQ bisects angle SPR.

Two tangents at A and B cut a third tangent at X and Y. If O is the centre of the circle and angle XOY is equal to 90°, show that the tangents at A and B are parallel.

find the volume of a trough at the form of a prism whose opposite face are equilateral triangle with side side x units and are x units apart

Prove that the straight line joining the mid-points of two non-parallel sides of a trapezium is parallel to the parallel sides and half of their sum.

Draw a quadrilateral ABCD and name the following-
a) Two pairs of adjacent sides
b) Two pairs of opposite angles
c) Two diagonals
d) Four vertices

find the value of the variable and ST if S is between R and T

RS =7a,ST = 12a, RT = 76

in a triangle ABC
PQ II BC
P be the mid point of side AB and Q be the mid point of AC
then prove that area of triangle OBC=area of rectangle OPAQ

[note-- QB and PC are crossing lines inside the triangle and they meet at a point O which lies inside the
triangle

P is a point inthe interiour of a rectangle ABCD.if P is joined to each of the vertices of the rectangle and the lengths of PA ,PB and PC are 3cm,4cm and 5cm respectively prove that PA2+PC2=PB2+PD2 and find the length of CE

find the perimeter of a rhombus if the diagonal are 6cm and 8 cm

hello

i have many objects with known centre of mass coordinates distributed on a plane.
the objects have 2 main shapes (cudic and cylindrical).

i previously calculated the distance between there centres of mass to detect if they intersect 2 by 2.

now all what i need is to know which object is visible to the others so i can calculate the view factor
related to each object with respect to only the visible onces.

I'm waiting your help. thank's