Answer:
The correct option is E. 8
The value of h is 8 unit.
Step-by-step explanation:
Given:
Δ BAD ~ Δ CBD
AC = 20
DC = 4
∴ [tex]AD = AC - DC=20-4=16[/tex]
To Find:
h = ?
Solution:
Δ BAD ~ Δ CBD ................Given
If two triangles are similar then their sides are in proportion.
[tex]\frac{BD}{CD} =\frac{AD}{BD} =\frac{BA}{CB}\ \textrm{corresponding sides of similar triangles are in proportion}\\[/tex]
On substituting the given values we get
[tex]\dfrac{BD}{CD} =\dfrac{AD}{BD}[/tex]
[tex]\dfrac{h}{4} =\dfrac{16}{h}\\\therefore h^{2}=64\\\therefore h=8\ unit[/tex]
The value of h is 8 unit.
