Question

rhombus ABCD.
7. Find x if distance between points L(px, 7) and M(1, 15 ) is 10.

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Answer 1

Answer:

Distance between LM=10

LM=

(x−1)

2

+(7−15)

2

=10

⇒

(x−1)

2

+(−8)

2

=10

(x−1)

2

+64

=100

Squaring both sides

(x−1)

2

+64=100

⇒x

2

−2x+1+64=100

⇒x

2

−2x−35=0

⇒x(x−7)+5(x−7)=0

⇒(x+5)(x−7)=0

⇒x=−5,7