You’re given three angle measurements of 30°, 70°, and 80°. How many triangles can you construct using these measurements? A.
0
B.
1
C.
2
D.
infinitely many

D

Step-by-step explanation:

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geometry: triangles

solvers

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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

a

step-by-step explanation: