Use the diagram to find the value of "y" so that △AOC ≅ △ZFD by HL.

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04-01-2022
Mathematics

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Use the diagram to find the value of "y" so that △AOC ≅ △ZFD by HL.

Sagot :

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jacob193 jacob193 · Answer 1 · 2022-01-04T15:41:31-05:00

Answer:

[tex]y = 23[/tex].

Step-by-step explanation:

Two right triangles are congruent by the [tex]\texttt{HL}[/tex] postulate if and only if:

One leg of the first right triangle (one of the two sides adjacent to the right angle) is equal in length to a leg of the other triangle.
The hypotenuses of the two right triangles (opposite to the right angle) are equal in length.

In this example, the hypotenuses of the two right triangle are [tex]\textsf{CO}[/tex] and [tex]\textsf{FD}[/tex], respectively.

For these two right triangles to be congruent by [tex]\texttt{HL}[/tex], these two lengths should be equal to one another. Equate these two lengths and solve for [tex]y[/tex]:

[tex]\textsf{CO} = \textsf{FD}[/tex].

[tex]73 = (3\, y + 4)[/tex].

[tex]y =23[/tex].

Sagot :

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