Question

OA=4. OC=12. OD=6 FIND OB

Answer 1

hey..
here In this figure we considered two triangles namely (OAB,ODC)
we observe that -
angleOAB=angleODC (right angle)
& angleAOB=angleODC
so the triangles OAB~tringleODC (A-A similarity rule)

according to thales theorem -
OA/OD=OB/OC=AB/D.C.

given that oa=4,OC=12,OD=6
THEN
4/6=OB/12
12×4=6OB
48=6OB
48/6=6OB
OB=8(answer)



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