Question

solve question no 9​

Answer 1

Answer:

16cm

Step-by-step explanation:

Given:

BD = 8 cm

AD = 4 cm

∠ABC  = 90°

BD ⊥ AC

We know that ,

If a perpendicular is drawn from the vertex containing a right angle of a right triangle to the hypotenuse then the triangle on each side of the perpendicular are similar to each other and to the whole triangle.

___________

So, ΔDBA∼ΔDCB  (A-A similarity)

$\frac{BD}{CD} = \frac{AD}{BD}$

[Since, triangles are similar, hence corresponding sides will be proportional]

BD² = AD x DC

(8)² = 4 x DC

64 = 4DC

DC = $\frac{64}{4}$ 

DC = 16  

Hence, the length of  CD is 16 cm.

$\textbf{Hope it helps you mate :)}$