Given:
The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).
To show:
That the triangle ABC is a right angled triangle.
Solution:
Distance formula:

The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).
Using the distance formula, we get




Similarly,


And,


Now, add the square of two smaller sides.




Since the sum of the square of two smaller sides is equal to the square of the largest side, therefore the given triangle is a right angle triangle by using Pythagoras theorem.
Hence proved.
The perpendicular bisector theorem gives the statements that ensures
that
and
are perpendicular.
The two statements if true that guarantee
is perpendicular to line
are;
Reasons:
The given diagram is the construction of the line
perpendicular to line
.
Required:
The two statements that guarantee that
is perpendicular to line
.
Solution:
From the point <em>C</em> arcs <em>E</em> and <em>D</em> are drawn to cross line
, therefore;
arcs drawn from the same radius.
is perpendicular to line
, given.
Therefore;
by perpendicular bisector theorem.
Learn more about the perpendicular bisector theorem here:
brainly.com/question/11357763
Answer:
the answer is 54.7
Step-by-step explanation:
82.6 - 27.9 = 54 7
Answer:
Step-by-step explanation:
I understand why this was kind tough
the slope of line d is infinite and the slope of line c is zero
so line c 's equation looks like y = 3 ... it's kinda confusing but the line is always 3 so you could pick any x value and y = 3 still. the equation y=3 doesn't rely on x at all to answer it. But x is part of the "frame work" that is implied.
line d is x = 3 , again , y is part of the "frame work" and implied that y doesn't matter in this equations, you always have x = 3 .. or a vertical line , btw. line d does NOT pass the vertical line test , and therefore isn't a function, so the question is wrong, that d will have an equation, b/c there is an implication that d is a function when you say "what is the equation to line d" that is must be a function. But in this case it's not. hm :/ food for thought