Respuesta :

Answer:

Using Pythagorean theory : a²+9²=15²

=> a²=225-81=144

=> a = √144 = 12

Step-by-step explanation:

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

  • Hypotenuse ( h ) = 15
  • Perpendicular ( p ) = a
  • Base ( b ) = 9

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

  • Value of a

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \underline{ \text{USE \: PYTHAGOREAN \: THEOREM}} : [/tex]

⤏ [tex] \tt{ {p}^{2} = {h}^{2} - {b}^{2} }[/tex]

⤏ [tex] \tt{ {a}^{2} = {15}^{2} - {9}^{2} }[/tex]

⤏ [tex] \tt{ {a}^{2} = 225 - 81}[/tex]

⤏ [tex] \tt{ {a}^{2} = 144}[/tex]

⤏ [tex] \tt{a = \sqrt{144}} [/tex]

⤏ [tex] \tt{a = \sqrt{ {(12)}^{2} } }[/tex]

⤏ [tex] \tt{a = 12}[/tex]

[tex] \red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \tt{12 \: \text{units}}}}}}} [/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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