Geometry Answers

Given triangle ABC whose sides AB=15 in, AC=25, BC=30. From point D on side AB, a line DE is drawn to point AC such that angle ADE is equal to angle ABC. If perimeter of ADE is 28 in, find the length of segments BD and CE

Prove that the equation of the chord joining the points P(ct, c/t) and Q(cT, c/T) on
the rectangular hyperbola xy = c
2
is x + tT y = c(t + T). M is the midpoint of P Q
and P Q meets the x-axis at N. Prove that OM = MN, where O is the origin

Sanjay wants to find the mass of her parakeet. What unit would be best to measure the birds A and B Riders c d grams

A lateral edge of the hexagonal pyramid is 2.0m long and its base perimeter is 6m determine the volume of the pyramid and its lateral area

A lateral edge of the hexagonal pyramid is 20m long and its base perimeter is 6m determine the volume of the pyramid and its lateral area

The tangent at any point on the eclipse x2/a2 +y2/b2 meets the tangents at the ends of the major axis Q and Q'. Show that the circle on QQ' has diameter passes through the foci.

BEL is a triangle. BE is 4 cm BL is 3.5 cm and angle LBE is 50°. Let M be a point on BL. Construct the imagine R of point B by the translation of vector v = vector EM. Construct the imagine F of point L by the translation of vector v. Calculate RF and angle FRM

Show that the tangents from the point with position vector −2i − 3j to the ellipse
4x
2 + 9y
2 = 36 are perpendicular.

Find the eccentricity of the ellipse 3x
2 + 4y
2 = 12 and the equation of the tangent to
the ellipse at the point (1, 3/2). If this tangent meets the y-axis at the point G, and
S and S
′ are the foci of the ellipse, find the area of triangle SS′G.