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 ~

• $\sf \: BD {}^{2} + CD {}^{2} = BC {}^{2}$

• $\sf4 {}^{2} + {3}^{2} = {a}^{2}$

• $\sf16 + 9 = {a}^{2}$

• $\sf \: a {}^{2} = 25$

• $\sf \: a = \sqrt{25}$

• $\sf \: a = 5 \: units$

Therefore, Length of side a is 5 units ~