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help with this !!!!!!!!!!!!!!!!!!!!

help with this !!!!!!!!!!!!!!!!!!!!-example-1

2 Answers

6 votes

Answer:

Using Pythagorean theory : a²+9²=15²

=> a²=225-81=144

=> a = √144 = 12

Explanation:

User Brandon Culley
by
5.4k points
9 votes

Explanation:


\underline{ \underline{ \text{Given}}} :

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


\underline{ \underline{ \text{To \: find}}} :

  • Value of a


\underline{ \underline{ \text{Solution}}} :


\underline{ \text{USE \: PYTHAGOREAN \: THEOREM}} :


\tt{ {p}^(2) = {h}^(2) - {b}^(2) }


\tt{ {a}^(2) = {15}^(2) - {9}^(2) }


\tt{ {a}^(2) = 225 - 81}


\tt{ {a}^(2) = 144}


\tt{a = √(144)}


\tt{a = \sqrt{ {(12)}^(2) } }


\tt{a = 12}


\red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \tt{12 \: \text{units}}}}}}}

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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User Jon Clegg
by
5.2k points