Question

Find the unknown length x in the following figures:​

Answer 1

Answer:

$answer \: is \: 12m$

$verification$

$using \: pythagore \\ as \: theorem$

$in \: triangle \: def$

${13}^{2} = {5}^{2} + {ef}^{2}$

$169 = 25 + ef{2}$

$169 - 25 = {ef}^{2}$

$144 = {ef}^{2}$

$ef = \sqrt{144} = 12m$

here is your verification of the answer.

Answer 2

• using Pythagoras theorem
• $(df) { }^{2} = ( de) {}^{2} + (ef) {}^{2}$
• ${(13)}^{2} = {(5)}^{2} + {(ef)}^{2}$
• $169 = 25 + {(ef)}^{2}$
• ${(ef)}^{2} = 169 - 25$
• ${(ef)}^{2} = 144$
• $ef = \sqrt{144}$
• $ef = 12$
• so,the value of X is 12 m