Question

Find the length of y, assume the triangles are similar

Answer 1

y = 3.6

Explanation:

Since the triangles are similar, we can write the following proportion:

`(y)/(6.3) = (2.4)/(4.2) = (2.8)/(x)`

We don't need the fraction on the left because it is not necessary to solve for y. Instead, we can simplify the rest:

`(y)/(6.3) = (2.4)/(4.2)`

`(y)/(6.3) = (0.4)/(0.7)`

Now, we can cross-multiply:

`0.7y = 6.3 * 0.4`

`0.7y = 2.52`

`y = 3.6`

Answer 2

Given:

The length of both triangle are in the same ratio,

2.4:2.8:y = 4.2:x:6.3

To find:

The value of 'y'

Steps:

Since 2.4 : y = 4.2 : 6.3, we can find the value of 'y'

2.4/y = 4.2/6.3

2.4 * 6.3 = 4.2 * y

15.12 = 4.2y

15.12/4.2 = y

3.6 = y

y = 3.6

Therefore, the value of y is 3.6

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