In the right triangle △abc, leg ac=6 cm and leg bc=8 cm. point m and n belong to ab so that am: mn: nb=1: 2.5: 1.5. find area of △mnc.

ABC =  leg x leg / 2

ABC = 6 x 8 / 2

ABC = 24

MNC = (MN / (AM+MN+NB)) x ABC

MNC = (2.5 / (1 + 2.5 + 1.5) )x 24

MNC = (1/2) x 24

MNC = 12

really hope this helps :)

5/12, or 5: 12

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional