Question

if the point A(-2,k) ,B(3,-4),C(7,10)are the vertices of a right angled isosceles triangle right angled at A , find the value of k and the area of triangle ABC​

Answer 1

ANSWER

REF.Image

A(4,7), B(p,3) & c (7,3) are vertices of right angle triangle then u

using Pythagoras theorem

(AC)

2

=(AB)

2

+(BC)

2

(7−4)

2

+(3−7)

2

=(p−4)

2

+(3−7)

2

+(p−7)

2

+(3−3)

2

9+16=(p−4)

2

+16+(p−7)

2

9=p

2

+16−8p+p

2

+49−14p

2p

2

−22p+56=0

p

2

−11p+28=0

p

2

−7p−4p+28=0

(p-4)(p-7)=0

Hence p-4=0 & p-7=0

[p=4,7]

First write the written one and then write the photo one