pratersmith1968
pratersmith1968 pratersmith1968
  • 24-12-2017
  • Mathematics
contestada

If the triangles in the above figure are proportional, what's the length of side b?

If the triangles in the above figure are proportional whats the length of side b class=

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Aletocabens
Aletocabens Aletocabens
  • 24-12-2017
The length of side b is 36 units.

9/b=90/360          
3240=90b
36=b

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Louli
Louli Louli
  • 26-12-2017
We are give that the two triangles are proportional, this means that:
BC/EF = CA/FD

We are also given that:
BC = 9 units
EF = 90 units
CA = b (The value we want to calculate)
FD = 360 units

Substitute with the givens in the proportionality relation mentioned above to get the value of b as follows:
BC/EF = CA/FD
9/90 = b/360
b = (9/90) * 360
b = 36 units
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