In right triangle ABC, if AC = 5/13 and AB = 1, what is the length of BC?

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16 votes

Answer:

BC =
(12)/(13)

Explanation:

Using Pythagoras' identity in the right triangle

BC² + AC² = AB²

BC² + (
(5)/(13) )² = 1²

BC² +
(25)/(169) = 1 ( subtract
from both sides )

BC² =
(169)/(169) -
(25)/(169) =
(144)/(169) ( take square root of both sides )

BC =
$\sqrt{(144)/(169) }$ =
(12)/(13)

Condad answered Sep 18, 2022

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