let triangle ABC be a triangle in which all three interior
angles are acute and let A'B'C' be the orthic triangle.
a.) Prove that the altitudes of triangle ABC are the angle
bisectors of triangle A'B'C'.
b.) Prove the orthocenter of triangle ABC is the incenter of
traingle A'B'C'.
c.) Prove that A is the A' -excenter of triangle A'B'C'.
The three charges are at the three vertices of an
equilateral triangle ?( all angles are 60degrees)
q 1 = + 10.0 µC
q 2 = - 5 .0 nC
q 3 = + 8 .0 nC
Equilateral side of the triangle = 0.05 m.
A. Draw forces acting on q 1
by q 2and q 3
B. find the components on X and Y axes .
C. Use Pythagorean theorem to find the resultant .
D. Use tangent to find the direction ( angle ) the resultant...
1)
Prove the conjectures
a) The sum of the measures of the n interior angles of any
n-gon is 180 degrees(n-2).
b) For any polygon, the sum of the measures of a set of
exterior angles is 360 degrees.
Following a closed traverse, the sum of the interior angles was
found to vary from the calculated sum by 2 degrees, 30 minutes. The
angles were balanced by adding 30 minutes to each of five internal
angles. This would be an example of: A. an arbitrarily balanced
field angle adjustment. B. mathematical polygon balancing. C. an
equally balanced field angle adjustment. D. a poorly conducted
traverse.
Find the measures of the marked angles in the triangle below if
you know that a/c=10/11 and a/2=b/3. Hint: if x/y=w/z then xz=wy.
In other words, if two fractions are equal, the products you obtain
from cross-multiplying will also be equal. (Do not use a protractor
to measure the angles below since the diagram is not drawn to
perfectly match the angles of your answer.)
Using Java
Create the class RightTriangle which is a
triangle with one of its angles equal to 90º – a “right angle”.
Its constructor will require the lengths only of its two legs.
It will then calculate the length of the third side (its
“hypotenuse”) using the Pythagorean Theorem:
a2 + b2 = c2.
This class will have no instance variables itself, so it will
need to set the appropriate variables in its parent class,
Triangle.
It will inherit equals...