Advertisement Remove all ads

In figure, AO/OC=BO/OD=1/2 and AB = 5 cm. Find the value of DC. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
Sum

In figure, `\frac{AO}{OC}=\frac{BO}{OD}=\frac{1}{2}` and AB = 5 cm. Find the value of DC.

Advertisement Remove all ads

Solution

In ∆AOB and ∆COD, we have

∆AOB = ∆COD [Vertically opposite angles]

`\frac{AO}{OC}=\frac{BO}{OD} `

So, by SAS-criterion of similarity, we have

∆AOB ~ ∆COD

`\Rightarrow \frac{AO}{OC}=\frac{BO}{OD}=\frac{AB}{DC}`

`\Rightarrow \frac{1}{2}=\frac{5}{DC} [∵ AB = 5 cm]`

⇒ DC = 10 cm

Concept: Similarity
  Is there an error in this question or solution?

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×