Given: △abc, d∈ ac m∠abc=m∠bda ab=2, ac=4 find: ad and dc

The value of AD=1 and DC=3

Step-by-step explanation:

Given: ΔABC, D∈ AC m∠ABC=m∠BDA,  AB=2, AC=4

Diagram: Please find attachment.

To find: AD=? and DC=?

Calculation:

In ΔABC and ΔADB

   ∠ABC=∠ADB          (Given)

        ∠A=∠A               (Common)

Therefore,  ΔABC ≈ ΔADB  by AA similarity

If two triangles are similar then ratio their corresponding sides are equal

Therefore,

where, AD=?, AB=2, AC=4

AD=1

AD+DC=AC

1+DC=4

DC=4-1

DC=3

Hence, The value of AD=1 and DC=3

answer

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step-by-step explanation: