[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 ~
