Question

Please answer this correctly

Answer 1

y = 24

Explanation:

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

`(100)/(80) =(30)/(y)`

→Cross multiply:

`(100y)/(2400)`

→Divide 2400 by 100:

y = 24

Answer 2

24 cm

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