Math, asked by VabHULK, 1 year ago

seg AB and seg CD intersect at the point O. OA=15cm, OB= 12cm, OC=10cm, OD=8cm. State whether ∆AOC and ∆BOD are similar or not .If so by which test.

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Answered by tutoringbyrobert

Answer:

Bottom Line Up Front, They are similar, due to Side-Angle-Side Rule.

First draw the two lines so that they intersect

Step-by-step explanation:

first draw the two lines so that they intersect. It doesn't matter what the angles are. You will see that OC and OA are in a ratio of 2:3. This is the same ratio of OD to OB. Also, angles AOC and BOD are congruent because they are vertical angles. Therefore, since the sides have the same ratio and the angles are congruent, SAS shows the triangles are similar.

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seg AB and seg CD intersect at the point O. OA=15cm, OB= 12cm, OC=10cm, OD=8cm. State whether ∆AOC and ∆BOD are similar or not .If so by which test.​

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seg AB and seg CD intersect at the point O. OA=15cm, OB= 12cm, OC=10cm, OD=8cm. State whether ∆AOC and ∆BOD are similar or not .If so by which test.