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What is the length of side a?

What Is The Length Of Side A class=

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[tex]\huge \bf༆ Answer ༄[/tex]

According to given figure, The Triangle BDC is a right angled Triangle (Angle D = 90°)

So, we can apply Pythagoras theorem to find the Side a (Hypotenuse)

Now, let's solve ~

  • [tex] \sf \: BD {}^{2} + CD {}^{2} = BC {}^{2} [/tex]

  • [tex] \sf4 {}^{2} + {3}^{2} = {a}^{2} [/tex]

  • [tex] \sf16 + 9 = {a}^{2} [/tex]

  • [tex] \sf \: a {}^{2} = 25[/tex]

  • [tex] \sf \: a = \sqrt{25} [/tex]

  • [tex] \sf \: a = 5 \: units[/tex]

Therefore, Length of side a is 5 units ~

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