# In the given figure, D is the mid-point of BC, then the value of coty∘cotx∘ is ______. - Mathematics

MCQ
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In the given figure, D is the mid-point of BC, then the value of (coty^circ)/(cotx^circ) is ______.

• 2

• 1/2

• 1/3

• 1/4

#### Solution

In the given figure, D is the mid-point of BC, then the value of (coty^circ)/(cotx^circ) is underline(1/2).

Explanation:-

(coty^circ)/(cotx^circ)=((AC)/(BC))/((AC)/(CD))=(CD)/(BC)=(CD)/(2CD)=1/2`

Concept: Areas of Similar Triangles
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