Question regarding similar triangles.

Question

anonymous · Answer

attachment

anonymous · Answer

@amistre64

anonymous · Answer

@jhonathanceballos

amistre64 · Answer

find the height of CBD ... you know the area and the base

scale it to determine the height of CAE, you kow its base to find area

then subtract the area of the smaller from the larger. ... or work out the scaled difference of areas of similar triangles

amistre64 · Answer

spose triangle T has a height h and a base b

   AreaT = hb/2

spose triangle T' is scaled by k therefore:

    Area T' = khkb/2 = k^2 AreaT

anonymous · Answer

Thanks and 1 more question

anonymous · Answer

Given XM = 6 cm , area of Triangle XMN = 14 cm square , and area of MYZN = 22 cm square , find length of MY.

amistre64 · Answer

.. so Area T' - Area T

Area T' - Area T

k^2 Area T - Area T

Area T (k^2-1) is the difference between them

anonymous · Answer

|dw:1398194226769:dw|

amistre64 · Answer

use the formula that I just developed, but solve for k instead, then you know 
that 

XY = kXM

XM + MY = kXM

MY = kXM - XM

MY = XM (k-1)