How many triangles will there be in the 7th term of the following sequence? the figure shows a sequence. the first figure in the sequence shows a triangle, the second figure shows 4 triangles, the third figure shows 7 triangles and so on.

a. 19
b. 22
c. 16
d. 8

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

29933333.33

step-by-step explanation:

can someone me: the midsegment through the legs of an isosceles triangle is 4 in. find the sides of the triangle if its perimeter is 20 in. ,   and point g is the centroid of the right △abc with hypotenuse ab=18 in. find cg.

figure it out it is easy