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

Mathematics

2 answers:

liberstina [14]3 years ago

8 0

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

∴ $AD = AC - DC=20-4=16$

To Find:

h = ?

Solution:

Δ BAD ~ Δ CBD ................Given

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

$\frac{BD}{CD} =\frac{AD}{BD} =\frac{BA}{CB}\ \textrm{corresponding sides of similar triangles are in proportion}\\$

On substituting the given values we get

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

$\dfrac{h}{4} =\dfrac{16}{h}\\\therefore h^{2}=64\\\therefore h=8\ unit$

The value of h is 8 unit.

Ganezh [65]3 years ago

7 0

Answer:

Step-by-step explanation:

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