Answer:
0.51 cm
Step-by-step explanation:
In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°
By the sine definition,
Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,
In the right triangle, two acute angles are always complementary, so
Thus,
Equation of a line is .
A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.
Given that,
Endpoints of the line segment are () = (4, 1) and (
) = (2, -5).
First find the midpoints of the given line segment.
M =
=
M =
Now, Find the slope of the line :
It is perpendicular to the line with (4,1) and (2,-5)
Slope between () and (
) =
so,
the slope between (4,1) and (2,-5) =
= 3
perpendicular lines have slopes the multiply to get -1
3 times m=-1
m=
The equation of a line that has a slope of m and passes through the midpoints M(3,-2) is
if we want slope intercept form
If we want standard form
Hence, Equation of a line is .
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