Respuesta :

marcthemathtutor

Answer:

24 cm

Step-by-step explanation:

Assuming that the triangles are similar,

then the ratio of their sides must be the same.

in this case you are dealing with  2 longest sides and the 2 shortest sides.

We are asked to find the y (the length of the shortest side of the blue triangle)

because they are similar, we can form a ratio with their sides:

Purple Long Side / Blue Long Side = Purple Short Side / Purple Long side

100 / 80 = 30 / y

100y = (30)(80)

y = (30)(80) / 100

y = 24 cm

pandaeyes1021

Answer:

y = 24

Step-by-step explanation:

Since these triangles are similar, you can set up a proportion like this:

[tex]\frac{100}{80} =\frac{30}{y}[/tex]

→Cross multiply:

[tex]\frac{100y}{2400}[/tex]

→Divide 2400 by 100:

y = 24

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