Question #00038

1 Answer
Barney V.
Jan 21, 2018

#13cm#

Explanation:

Using Pythagoras formula:-

#a^2=b^2+c^2#

#:.a^2=5^2+12^2#

#:.a^2=25+144#

#:.a^2=169#

#:.a=sqrt169#

#:.a=13cm#

~~~~~~~~~~~~~
Check:-

#:.b^2+c^2=a^2#

#:.b^2=a^2-c^2#

#:.b^2=13^2-12^2#

#:.b^2=119-144#

#:.b^2=25#

#:.b=sqrt25#

#:.b=5cm#

and

#:.b^2+c^2=a^2#

#:.c^2=a^2-b^2#

#:.c^2=13^2-5^2#

#:.c^2=169-25#

#:.c^2=144#

#:.c=sqrt144#

#:.c=12cm#

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