Question

in an equilateral triangle ∆PQR seg PS⊥ side QR , PQ = 6 ,then ps=?​

Answer 1

Given: PQR is a equilateral triangle

Angle P=Angle Q=Angle R=60 degree

Because each angle of equilateral triangle is equal to 60 degree.

PS is Perpendicular to QR

In triangle PSR and PSQ

Angle PSR=Angle PSQ=90 degree

Angle Q=Angle R=60 degree

Triangle PSR is similar to triangle QSP

When two triangles are similar then the ratio of their corresponding sides are equal.

Therefore,

\frac{PS}{QS}=\frac{SR}{PS}

QS

PS

=

PS

SR

PS^2=SR\times QSPS

2

=SR×QS

Answer 2

Answer:

Don't know, very very sorry ........