Question

What is the length of side a?

Answer 1

`\huge \bf༆ Answer ༄`

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 ~

• 
  `\sf \: BD {}^(2) + CD {}^(2) = BC {}^(2)`

• 
  `\sf4 {}^(2) + {3}^(2) = {a}^(2)`

• 
  `\sf16 + 9 = {a}^(2)`

• 
  `\sf \: a {}^(2) = 25`

• 
  `\sf \: a = √(25)`

• 
  `\sf \: a = 5 \: units`

Therefore, Length of side a is 5 units ~