C is the midpoint of segment AB D is the midpoint of segment BC A is located at (4,8) and B is located at (-12,4) what are the coordinates of D

coordinates of D are ( -8, 5)

Step-by-step explanation:

- the formula of the coordinates of the midpoint is (x1+x2)/2  & (y1+y2)/2

- first we find midpoint C by using coordinates of points A and B

C => (4 - 12)/2 & (8 + 4)/2

calculate, coordinates of C are ( -4, 6 )

- now find midpoint D by using the coordinates of B and C

D => ( -12 - 4 )/2 & (4 +6)/2

calculate and the coordinates of D are ( -8, 5 )

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.