if A(5,2), B(2,-2) and C(2,t) are the vertices of a right triangle such that angle B =90 Find t - Maths - Coordinate Geometry

Question

if A(5,2), B(2,-2) and C(2,t) are the vertices of a right triangle
such that angle B =90 Find t

Amit Shukla · Accepted Answer

Dear Student,

AB2+BC2=AC2Using distance formula;x2-x12+y2-y12+x2-x12+y2-y12=x2-x12+y2-y122-52+-2-22+2-22+t+22=2-52+t-22-32+-42+0+t2+4+4t=-32+t2+4-4t9+16+t2+4+4t=9+t2+4-4t8t=-16t=-2

Regards

if A(5,2), B(2,-2) and C(2,t) are the vertices of a right triangle such that angle B =90.Find t.