1)
for a valid triangle two sides added together have to always be larger than the third
(otherwise it turns into a line)
12, 18, 6 would not be a valid triangle, because 12+6<=18
but 12, 18, 14 would be valid, because
12+18>14
12+14>18
18+14>12
2)lets start with an obvious right triangle and have the axis along the y and x axis like
so decide some x like -4 and some y like -3 and keep all other coordinates at 0:
A=(-4,0) B=(0,-3) and C=(0,0)
make it a bit more complicated (less 0s) by some x and y translation like (-2,3)
just add that to every point's coordinates and you get
A=(-6,3), B=(-2,0), C=(-2,3)
-1/3
really? it's that easy dude.
whatever number is next to x, like say, 3x, that number would be the slope, so it would be 3.
hope it helped.
Answer:
-2.5
Step-by-step explanation:
The slope is the rate.
CD bisects angle C, so makes these ratios proportional:
.. AD/AC = BD/BC
.. 3/4 = x/7.5
.. x = 7.5*(3/4) = 5.625
The answer is the option d.Perpendicular bisector.
Explanation:
By definition, a circumscribe circle passes through the three vertices of the triangle and to its constrution, you have to draw the triangle and then construct a perpendicular bisector to each side of it. The point where these perpendicular bisectors intersect each other, will be the center of the circle. Then, you should place the compass on the center point to draw the circle.
