Question

Please Answer this question
Correct answer gets the tittle of brainiliest answer. ​

Answer 1

Given that :

In the figure, ABC is a right angle triangle where,

/_C = 90°, /_B = © and /_ D = @

D is a mid point of BC So, CD = BC

Let, BC = x and AC = h

Then, BD = CD = x/2

As we know that :

tanA = Perpendicular/Base

Now, in /_\ ABC

tan© = AC/BC

=> tan© = h/x ....(1)

Again, in /_\ ACD

tan@ = AC/CD

=> tan@ = h/x/2 = 2h/x ....(2)

On dividing equation (1) by (2) :

tan©/tan@ = (h/x)/(2h/x)

=> tan©/tan@ = 1/2

HENCE PROVED ✔️

I hope it will be helpful for you ☺️

Fóllòw MË ❤️