Question

Find the length of y, assume the triangles are similar

Answer 1

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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Answer 2

Answer:

y = 3.6

Step-by-step explanation:

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

$\frac{y}{6.3} = \frac{2.4}{4.2} = \frac{2.8}{x}$

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

$\frac{y}{6.3} = \frac{2.4}{4.2}$

$\frac{y}{6.3} = \frac{0.4}{0.7}$

Now, we can cross-multiply:

$0.7y = 6.3 * 0.4$

$0.7y = 2.52$

$y = 3.6$