Question

in the given figure T and M are two point.inside a parallegrom PQRS such that PT=MR and PT||MR then prove that (A)∆PTR~=∆RNP
(B) RT||PM and RT=RM​

Answer 1

Step-by-step explanation:

▪️let coordinates of the point=(x,0)(as the poin lies on x axis)

▪️x1=7. y1=-4

▪️x2=x. y2=0

▪️distance between 2 pts=√(x2-x1)^2+(y2-y1)^2

▪️A/Q.....

▪️2√5=√(x-7)^2+(0-(-4))^2

▪️on squaring both sides....

▪️20=x^2+49-14x+16

▪️20=x^2+65-14x

▪️0=x^2-14x+45

▪️0=x^2-9x-5x+45

▪️0=x(x-9)-5(x-9)

▪️0=(x-9)(x-5)

▪️x-9=0. x-5=0

▪️x=9. x=5

▪️therefore x=9,5

▪️and coordinates of points.....(9,0)or(5,0)

Hopes it help you❤️❤️