To form a triangle the sum of the two shorter sides must be greater than the longest side.
5, 5, 3 forms a triangle (isosceles)
8, 8, 8 forms a triangle (equilateral)
5, 6, 10 forms a triangle (obtuse angled scalene)
7, 8, 15 technically forms a triangle with an area of zero units. The vertices would be co-linear.
This will often be ignored as it has little practical use.
Fun fact. If you break a stick into 3 random lengths there is only a 25% chance they will be able to form a triangle.
Putting it in simpler terms
Answer:
under
Step-by-step explanation:
change the underminator, we have
7×(x-2)-4×(3x+5)=-3×7×4
7x-14-12x-20=-84
-5x=-50
x=10
Answer:
y = -3x +2
Step-by-step explanation:
If you divide the equation for the given line by 2, it will be in slope-intercept form:
y = (1/3)x +7
This tells you its slope is 1/3. The slope of the perpendicular line is the negative reciprocal of this: -1/(1/3) = -3. The point-slope form of the equation for the perpendicular line can be written as ...
y = m(x -h) +k . . . . . line with slope m through point (h, k)
Your line is ...
y = -3(x -(-2)) +8
y = -3x +2