How many triangles have area 10 and vertices at (-5,0), (5,0) and (5cosA, 5sinA) for some angle A?
I know that the height of the triangle has to be 2.
I recently studied trig and know how to graph functions.
Is that enough trig to solve this?
How many triangles have area 10 and vertices at (-5,0), (5,0) and (5cosA, 5sinA) for some angle A?
I know that the height of the triangle has to be 2.
I recently studied trig and know how to graph functions.
Is that enough trig to solve this?
This is one reason. In fact, even without the use of Pythagorean theorem, is defined (at least it was when I studied it) as the x-coordinate of a point on a unit circle that is rotated radians counterclockwise from (1, 0) . Similarly, is the y-coordinate. So a point lies on a unit circle by definition.
Hello, Veronica1999!
Did you make a sketch?
Code:| * * * * | * C * | o * | 5 * :* | * :h * | * @ : * - - o - - - - + - - - + o - - A* | *B | * | * * | * * | * * * * |
is on a circle with radius 5.
has base 10 and height
. . where: .
Hence: .
. . There are four triangles.