find the length of y, assume the triangles are similar

Answer:
y = 3.6
Step-by-step explanation:
Since the triangles are similar, we can write the following proportion:
[tex]\frac{y}{6.3} = \frac{2.4}{4.2} = \frac{2.8}{x}[/tex]
We don't need the fraction on the left because it is not necessary to solve for y. Instead, we can simplify the rest:
[tex]\frac{y}{6.3} = \frac{2.4}{4.2}[/tex]
[tex]\frac{y}{6.3} = \frac{0.4}{0.7}[/tex]
Now, we can cross-multiply:
[tex]0.7y = 6.3 * 0.4[/tex]
[tex]0.7y = 2.52[/tex]
[tex]y = 3.6[/tex]
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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