Find an equation of the line passing through the point a(4,7) and perpendicular to the line through points b(-1,-2) and c(5,8).

The equation of line is

Step-by-step explanation:

Since the line is perpendicular to the line passing through (-1,-2) and (5,8) the product of it's slope and the line is related as

Slope of line  through (-1,-2) and (5,8) is

Now we know that general equation of line is given by

Applying value we get

The value of 'c' can be obtained as we know that the line is passing through (4,7)

Thus we have

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.