Three ratios 2

What is the ratio of bases of two triangles when the ratio of their heights is 3:4 and the ratio of their areas is 4:3?

Correct answer:

r =  16:9

Step-by-step explanation:

r1=3:4=0.75 r2=4:31.3333=4:3  r1 = h1:h2 r2 = S1:S2  S1 = 2b1 h1 S2 = 2b2 h2  r2 = S1:S2 = b2 h2b1 h1 = b2b1 h2h1  r2 = r r1  r = r2/r1 r=34/43=34:43=34 34=3 34 4=9161.7778=16:9

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