Question

If d is the mid point of BC show that tan tetha/tan alpha=1/2​

Answer 1

Answer:

proved

Step-by-step explanation:

$\tan( \alpha ) = \frac{ac}{cd}$

$\tan( \beta ) = \frac{ac}{cb}$

but since you told d is midpoint therefore cb=2 * cd

$\frac{ \tan( \alpha ) }{ \tan( \beta ) } = \frac{ac}{cd } \div \frac{ac}{2cd}$

therefore ratio is 1/2

Answer 2

Answer:

Given : BD=DC (d is the mid point of BC) and

BC = 2 DC

Tan tetha = AC/BC

Tan alpha = AC/DC

LHS = (Tan tetha)/(Tan alpha)

= (AC/BC)/(AC/DC)

= DC/BC

= DC/2DC

= 1/2

Hence proved.

I hope you satisfied with my ANSWER.

please mark as BRAINLIEST.