in triangle ,s is any p[oint on pr such that ps:sr=2:3,v is a point on qs such that qv:vs=1:3 ,if st median of trianglesvr and areaof triangle -- area of triangleqvt=12cm^2 ,then find area of triangle pqr
Answers
Area of Δpqr = 160 cm²
Step-by-step explanation:
Area of Δ qvt = 12 cm²
st is median of Δ svr
=> t is mid point of vr
hence qt is median of Δ qvr
Hence Area of Δ qvt = (1/2)Area of Δ qvr
=> Area of Δ qvr = 2 * Area of Δ qvt
=> Area of Δ qvr = 2 * 12
=> Area of Δ qvr = 24 cm²
qv:vs=1:3
=> area of Δ qvr = (1/4) Area of Δqsr
=> Area of Δqsr = 4 * area of Δ qvr
=> Area of Δqsr = 4 * 24 = 96 cm²
ps:sr=2:3
=> Area of Δqsr = (3/5)* Area of Δpqr
=> Area of Δpqr = (5/3) * Area of Δqsr
=> Area of Δpqr = (5/3) * 96
=> Area of Δpqr = 160 cm²
Learn more:
show that a median of a triangle divides it into two triangles of equal ...
https://brainly.in/question/2744006
The area of a triangle ABC is 63 sq.units. Two parallel lines DE,FG are
https://brainly.in/question/13089969
The median PS,QT and RU of ∆PQR intersect at point G. If the area ...
https://brainly.in/question/13482501