Question

Calculate the length of the third side.
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Answer 1

ANSWER

${13 }^{2} - {12 }^{2}$

$169 - 144$

$25$

So third side length =

$\sqrt{25}$

=5

Answer 2

☘️$\Large{\blue{\bold{Given:}}}$

• In ∆ABC, Angle C is Right Angle.
• AC = 12 units.
• AB = 13 units.

☘️$\Large{\blue{\bold{To\;Find:}}}$

• Length of the third side (BC).

☘️$\Large{\blue{\bold{Solution:}}}$

WKT,

Side opposite to the Right Angle(90°) [or] The longest side in a Right Angled Triangle is called Hypothenuse.

$\boxed{\pink{\sf{(Hypothenuse)² = (Side)²+(Side)²}}}$

$→\;{\sf{(AB)² = (AC)²+(BC)²}}$

$→\;{\sf{(13)² = (12)²+(BC)²}}$

$→\;{\sf{BC = \sqrt{169-144}}}$

$→\;{\sf{BC = \sqrt{25}}}$

$→\;{\sf{BC = \sqrt{(5)²}}}$

$→\;{\sf{BC = 5}}$

• Length of BC = $\red{\sf{5\;units}}$

ᴍʀꜱᴏᴠᴇʀᴇɪɢɴ࿐

Hope This Helps!!