Question

PQRS is a rhombus such that PR and QS intersect at orgin, PR=8 unit and the coordinates of P are(0, 4).find the coordinates of vertices Q, R and S???



help......!!--​

Answer 1

Answer:

Let Q=(h,0)

Since sides of rhombus are equal in length,

PQ2=QR2

(2−h)2+(4–0)2=(6−h)2+(2–0)2

h2–4h+4+16=h2–12h+36+4⟹

h=52

Q=(52,0)

Next, midpoint of PR is same as midpoint of QS

Let S=(a,b)

2+62=a+522⟹a=112

4+22=b+02⟹b=6

S=(112,6)

I hope it will help you

Please add me as Brainliest