Triangles abc and dfg are given. find the lengths of all other sides of these triangles if: b ∠a≅∠d, ab·dg=ac·df, ac=7 cm, bc=15 cm, fg=20 cm, and df-ab=3 cm.

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Step-by-step explanation:

Given triangles ABC and DFG such that AB·DG=AC·DF and ∠A≅∠D

and AC=7 cm, BC=15 cm, FG=20 cm, and DF-AB=3 cm.

We have to find all other sides of triangle.

Now, AB·DG=AC·DF

⇒

and ∠A≅∠D

Hence, by SAS rule ΔABC~ΔDFG

⇒

⇒

⇒    

⇒ 20AB=45+15AB ⇒ 5AB=45 ⇒ AB=9 cm

Also,

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i believe the correct answer is b.