Ms. hatcher bought the pencil decoration shown below for her bulletin board.
note: figure not drawn to scale
if a = 10 in and b = 24 in, what is the area of the pencil decoration?
340 in2
240 in2
290 in2
124 in2

whats the answer

Step-by-step explanation:

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

answer:

c) the x-coordinate of the center of the circle increases by 3