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

395,164 views

18 votes

2.6k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

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

3.0k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers