Question

find the value of x in the triangle shown below

Answer 1

the answer is c (x=15)...

Answer 2

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$\\ \large \rm{↠Given \: triangle \: is \: right \: angled \: triangle .}$$\\\rm{Pythagorean \: Theorem \: states \: that} \\ \\ \large \rm{↠Hypotenuse = \sqrt {Altitude^{2} + Base ^{2} } }$

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Here,

• Hypotenuse = AC ( x )
• Altitude = AB ( 12 )
• Base = BC ( 9 )

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$\rm{↠Substituting \: values }$

$\large\rm{↠AC= \sqrt {AB^{2} + BC ^{2} } } \\ \\ \large\rm{↠x = \sqrt{12 ^{2} + 9 ^{2} } } \\ \\ \large\rm{↠x = \sqrt{144 + 81} } \\ \\ \large\rm{↠x = \sqrt{225} } \\ \\ \large\rm{↠x =15 }$

Option C ✓

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