The students ratio expressed in fraction as 6/4 = 4/x is incorrect for the similar triangles, and the correct ratio is x : 3 = 10 : 6 expressed in fraction as x/3 = 10/6. The value for x = 5.
How to calculate for x for the similar triangles
Since the triangles are similar, it implies that the length 3 of the smaller triangle is similar to the length x of the larger triangle,
Also the length 6 of the smaller triangle is similar to the length of the larger triangle (4 + 6 = 10).
So it will be wrong to write 6/4 = 4/x, rather the correct fraction will be;
x : 3 = 10 : 6
which when expressed as fraction, we get;
x/3 = 10/6
x = (10 × 3)/6
x = 30/6
x = 5
Therefore, the students expression 6/4 = 4/x is incorrect representation for the lengths of the similar triangles. And the correct expression is x/3 = 10/6, which gives us the value of x equal to 5.
Know more about similar triangles here:https://brainly.com/question/14285697
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