wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If A(4,3),B(6,2) and C(a,3) are the vertices of a triangle right angled at A, find a .

Open in App
Solution

ABCisarightangledtrianglehenceAB2+AC2=BC2(46)2+[3(2)]2+(4a)2+[3(3)]2=(6a)2+[2(3)]2=4+25+(4a)2+36=(6a)2+1(6a)2(4a)2=64(6a4+a)(6a+4a)=642(102a)=64102a=322a=22a=11


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Area from Coordinates
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon