Question

In the given figure, AB = CD = 8 units and AD = BC = 6 units. So, BD = .

• A. 12 units
• B. 10 units
• C. 16 units
• D. 14 units

Answer 1

The correct option is B 10 units

Given, AB = CD = 8 units and AD = BC = 6 units.

Here ∠A and ∠C are right angles.

Therefore, ∠B and ∠D are also right angles.

Let's find the length of the BD.

By applying Pythagorean theorem in the right angled triangle BCD, we get:

$B{D}^2=A{B}^2+A{D}^2$

$\Rightarrow B{D}^2=8^2+6^2$

$\Rightarrow B{D}^2=64+36$

$\Rightarrow B{D}^2=100$

$\Rightarrow BD=\sqrt{100}$

$\Rightarrow BD=10\text{units}$

So, the value of BD is 10 units.