Question

if D is a midpoint of BC, find the value of cot y / cot x.

Answer 1

Answer:

In △ACD

cotx

∘

=

CD

AC

.........(i)

In △ACB

cotY

∘

=

CB

AC

.........(ii)

Now D is the midpoint of BC

⇒BC=2CD

Dividing (ii) by(i)

⇒

cotx

∘

coty

∘

=

CB

AC

CD

AC

=

CD

CB

=

2CB

CB

=

2

1

Answer 2

Given : D is the mid point of BC

To Find : value of cot y°/ cot x°

Solution:

Cot α = Base / Perpendicular

Cotx  = AC/CD

Coty =  AC/BC

BC = 2CD as D is the mid point of BC

=> Coty =  AC/2CD

=> Coty =   Cotx/2

=>  Coty/  Cotx =1/ 2

Hence value of cot y°/ cot x° y is  1/2

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