Question

What is the value of h in the figure below? In this diagram BAD~CBD

Answer 1

8

Explanation:

Answer 2

The correct option is E. 8

The value of h is 8 unit.

Explanation:

Given:

Δ BAD ~ Δ CBD

AC = 20

DC = 4

∴
`AD = AC - DC=20-4=16`

To Find:

h = ?

Solution:

Δ BAD ~ Δ CBD ................Given

If two triangles are similar then their sides are in proportion.

`(BD)/(CD) =(AD)/(BD) =(BA)/(CB)\ \textrm{corresponding sides of similar triangles are in proportion}\\`

On substituting the given values we get

`(BD)/(CD) =(AD)/(BD)`

`(h)/(4) =(16)/(h)\\\therefore h^(2)=64\\\therefore h=8\ unit`

The value of h is 8 unit.