Question

please answer above question⬆️



@ajayviratkohli. I want answer from you ​

Answer 1

I have written it by myself please mark it as the brainllist if it will help you please say thanks for this answer too. . . .

Answer 2

according to question

given:-

$\cos\alpha = \frac{2}{3}$

and OB=3cm

In ∆AOB,

$\cos\alpha = \frac{2}{3} = \frac{ao}{ab}$

let OA=2x and AB=3x

In ∆AOB,

AB²=AO²+OB²

(3x)²=(2x)²+(3)²

9x²=4x²+9

5x²=9

x=

$\sqrt{ \frac{9}{5} } = \frac{3}{ \sqrt{5} }$

hence,OA=2x=2(3/√5)=6/√5 cm

and AB=3x=3(3/√5)=9/√5 cm

so diagonal. BD=2×OB=2×3=6 cm

and. AC=2AO

=2×6/√5

=12/√5 cm