Question

please solve this genuine answers only others reported​

Answer 1

$\Large\pink\pmb{AnsweR:-}$

In the given triangle ABC,

∠ ABC = 90°

∠ BAC = ∠ BCA

AB = BC

AC = √8

We know that,

AB = AC

Then  for surely,

∠BAC = ∠BCA

[ Angles opposite to the equal sides]

We also know that,

Δ ABC is a right angle triangle.

Then,

∠ABC = 90°

According to the angle sum property of a triangle,

∠ ABC + ∠ BAC + ∠BCA = 180°

90° + ∠ BAC + ∠BCA = 180°

We know that,

∠BAC = ∠BCA

That is,

90° + 2∠BAC = 180°

2∠BAC = 180° - 90°

2∠BAC = 90°

∠BAC = 90°/2

∠BAC = 45°

That is,

∠BAC = ∠BCA = 45°.

$\Large\red\pmb{VerificatioN:-}$

We know that sum of the angles of a Δ = 180°

We know,

∠ABC = 90°

∠ABC + ∠BAC + ∠BCA = 180°

On substituting values ,

90° + 45° + 45° = 180°

180° = 180°

LHS = RHS

Hence verified !!

All Done!! ☺