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

Use The Diagram To Find The Value Of Y So That AOC ZFD By HL class=

Sagot :

Jacob193idn

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].

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