Question

Find the value of x in the triangle shown below

Answer 1

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

Answer 2

`\large\bold\color{pink}{{★ƛƝƧƜЄƦ ↦}}`

`\\ \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 = √(144 + 81) } \\ \\ \large\rm{↠x = √(225) } \\ \\ \large\rm{↠x =15 }`

Option C ✓

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