Question

In the given figure value of X ​

Answer 1

Answer:

8cm

Step-by-step explanation:

it is the correct answer if u see

Answer 2

Given: In triangle ABC, BC $=16cm$, DC $=4cm$.

To find: The value of $x$

Solution:

In triangle ABC, BC $=16cm$, DC $=4cm$

Now to find BD,

We can see, BC = BD + DC

⇒ $16=BD+4$

⇒ $16-4=BD$

⇒ $BD=12cm$

In the triangle, ABC and ADC,

• ∠A = ∠D $(90^oeach)$

• ∠C (The angle is common to both triangles)

∴ By AA axiom os similarity,

ΔABC ≡ ΔADC

As both the triangles are similar,

∴ $\frac{CD}{AC}=\frac{AC}{BC}$

$AC^2=CD*BC$

⇒ $x^2=16*4$

⇒ $x^2=64$

⇒$x=8cm$

Final answer:

The value of $x$ in the given figure is 8cm.