CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the figure, seg AB seg DC. Using the information given in the figure, find the value of x.

Open in App
Solution

Given: Seg ABSeg DCIn DOC and BOA,DCO=BAO [Alternate angles]CDO=ABO [Alternate angles ]Therefore, by AA similarity test, DOC ~BOAHence, DOBO=OCOA=CDABDOBO=OCOA3x-3=x-53x-19Cross-multiplying, we get: 3(3x-19)=(x-5)(x-3)9x-57=x2-3x-5x+159x-57=x2-8x+15x2-17x+72=0x2-9x-8x+72=0x(x-9)-8(x-9)=0(x-8)(x-9)=0x=8 or x=9

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Criteria for Similarity of Triangles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon