Question

coordinates of P ,Q,R and S (-3,5),(4,-2),(p,3 p) and(6,3) if area of triangle PQR and QRS are in ratio 2:3 find value of p​

Answer 1

Answer:

at first we have to prove that both the triangles r similar(any three sidea pf a triangle is equal in length to the other triangle) Example:

Points= P(-3,5),Q(4,-2),R(p,3p),S(6,3)

In triangle PQR,

PQ=

$\sqrt{ {(4 - 3)}^{2} + {( - 2 - 5)}^{2} }$

$\sqrt{50}$

then follow the same step to find out and if both hte triangles r same then a according to the formula,

Ar.of 1st triangle /Ar. of 2nd triangle

=(side of 1st)^2/(side of 2nd triangle)^2