Question

need step by step explanation
give u brainliest
100points​

Answer 1

$x=\frac{ac}{c+b}$

Step-by-step explanation:

Let the given traingle be named by ΔABC for big triangle,while small triangle be named as Δ ADE.

Now,In ΔABC and in ΔADE,

∠A=∠A [Common]

∠AED=∠ACB [Given]

So,By AA similarity ΔABC and ΔADE are similar.

Now,$\frac{AE}{DE}=\frac{AC}{BC}$

      $\frac{AE}{DE }=\frac{AE+EB}{BC}$

       ⇒$\frac{c}{x}=\frac{c+b}{a}$ [From given figure]

     ⇒$\frac{c}{c+b}=\frac{x}{a}$

    ⇒ $\frac{ca}{c+b}=x$

     ⇒ $x=\frac{ac}{a+b}$

Answer 2

Step-by-step explanation:

Let the given traingle be named by ΔABC for big triangle,while small triangle be named as Δ ADE.

Now,In ΔABC and in ΔADE,

∠A=∠A [Common]

∠AED=∠ACB [Given]

So,By AA similarity ΔABC and ΔADE are similar.

Now,$\frac{AE}{DE}=\frac{AC}{BC}</p><p> \frac{AE}{DE }=\frac{AE+EB}{BC}</p><p> ⇒\frac{c}{x}=\frac{c+b}{a} [From given figure]</p><p> ⇒\frac{c}{c+b}=\frac{x}{a}</p><p> ⇒ \frac{ca}{c+b}=x</p><p> ⇒ x=\frac{ac}{a+b}$