Find the coordinates of the circumcenter for ∆def with coordinates d(1,3) e (8,3) and f(1,-5). show your work.

The coordinates of the circumcenter is .

Explanation:

The coordinates of triangle DEF are D(1,3) E (8,3) and F(1,-5).

Distance formula,

Since triangle follows pythagoras theorem,

Therefore the given triangle is a right angle triangle.

Or plot these points on a coordinate plane. From the figure we can say that the triangle DEF is a right angle triangle.

The circumcenter of a right angle triangle is the midpoint of the hypotenuse.

The hypotenuse is EF. The midpoint of EF is,

Therefore, the coordinates of the circumcenter is .

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

where did you get them? if you picked from the grass, is is probably poisonous.

step-by-step explanation: