Geometry : Areas of Triangles

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Areas and Perimeters of Triangles

28. Find the area and perimeter of an equilateral triangle whose altitude measures 6 cm. 29. If the area of an equilateral triangle is 100 sq cm, find the length of a side.

Vectors : Force and Moment

A force of magnitude 3 units act at the point with coordinates (1,2,3). The force is applied in the direction of the vector 3i-1j+4k. find the moment of the force about O (the origin). What is the moment of the force about the point with coordinates (1,2,3). please use diagram to illustrate your answer.

Vectors : Work Done

Determine the work done by a force of F Newtons acting at a point A on a body, when A is displaced to a point B, the coordinates of A and B being (2,5,-3) and (2,-3,0) metres respectively, and when F=2i-5j+4k Newtons. Please use a diagram to illustrate your answer.

Equation of an Ellipse

25*y^2 + (10/sqrt2)*y*z + 4*z^2 - 50 = 0 I know when compared with the standard 2nd degree conic equation that this is an ellipse rotated 16.24 degrees. My question is , How do I put this equation in the standard form of an ellipse equation? ie: y^2/a^2 + z^2/b^2 = 1

Geometry Word Problems

a. Ascertain wheel has a diameter of 98 inches. If that wheel travels for 108 revolutions, then. QUESTIONS: how many years has it gone? use 22/7 for pi. b. A regular hexagon and an equilateral triangle are equal in area. The perimeter of the triangle is 36. QUESTION: How long is one side of the hexagon? c. The base of a c ...continues

Geometry Word Problems

a. Ascertain wheel has a diameter of 98 inches. If that wheel travels for 108 revolutions, then. QUESTIONS: how many years has it gone? use 22/7 for pi. b. A regular hexagon and an equilateral triangle are equal in area. The perimeter of the triangle is 36. QUESTION: How long is one side of the hexagon? c. The base of ...continues

Isosceles Triangle Bisection Proof

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Parallelogram and rhombus

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Geometry Word Problems, Angles, Lengths, Areas, Volumes and Graphs

1. DEF and GHI are complementary angles and GHI is eight times as large as DEF. Determine the measure of each angle. 2. If line p and q are parallel, find the measure of angle 2 3. (Using ABC, find the following: a) The length of side AC b) The perimeter of ABC c) The area of ABC 4. A diagonal walk ...continues