The triangle above has a base of 32 inches and a height of 13 inches. Which set of dimensions would produce a similar figure? A.
base = 160 inches, height = 65 inches
B.
base = 32 inches, height = 65 inches
C.
base = 160 inches, height = 13 inches
D.
base = 165 inches, height = 65 inches

geometry: triangles

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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

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).