for Remy I need x and y. tri< ABC similar to tri< ADE th you
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9 | \. 90 deg <
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| x/ \
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90 deg < B.__/________\. A
2 10
To solve for x and y, we need to find the relationship between the corresponding sides of the triangles. Since triangle ABC is similar to triangle ADE, we can use the property of similarity: the corresponding sides of similar triangles are proportional.
Let's examine the corresponding sides of triangle ABC and triangle ADE:
Side AB corresponds to side AD.
Side BC corresponds to side AE.
Side AC corresponds to side DE.
From the given information, we have the following measurements:
AB = 2
BC = 9
AC = 10
To find the lengths of sides AD, AE, and DE, we can use the ratios of corresponding sides:
AD / AB = AE / BC = DE / AC
Now, let's plug in the values we have:
AD / 2 = AE / 9 = DE / 10
Solving for AD:
AD / 2 = AE / 9
AD = (2 * AE) / 9
Solving for AE:
AE / 9 = DE / 10
AE = (9 * DE) / 10
Now, we can substitute these expressions into the equation for AD:
(2 * AE) / 9 = (2 * (9 * DE) / 10) / 9
(2 * AE) / 9 = (18 * DE) / 90
(2 * AE) = (18 * DE) / 10
AE = (9 * DE) / 10
Since AE is equal to (9 * DE) / 10, we can equate it to the given value for x:
(9 * DE) / 10 = x
Next, we'll solve for AD:
AD = (2 * AE) / 9 = (2 * ((9 * DE) / 10)) / 9
AD = (18 * DE) / 90 = (2 * DE) / 10
AD = DE / 5
Therefore, we have the following equations:
AE = (9 * DE) / 10 = x
AD = DE / 5 = y
To find the specific values of x and y, we would need to know the measurement for DE.