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Triangle ABC is a right triangle. What is the length of AC?

Triangle ABC is a right triangle. What is the length of AC?-example-1
User Rossta
by
7.6k points

1 Answer

5 votes

Answer:

AC =
√(58)

Explanation:

Calculate AC using the distance formula

d =
\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }

with (x₁, y₁ ) = A (0, - 2) and (x₂, y₂ ) = C (3, 5 )

AC =
√((3-0)^2+(5-(-2)))^2

=
√(3^2+(5+2)^2)

=
√(9+7^2)

=
√(9+49)

=
√(58)

User Ted Hopp
by
7.8k points

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