Question

In an equilateral triangle PQR if PS QR then PS square =

(a) SRS
(b) 4RS
(c) RS
d) SRS​

Answer 1

srs right answer.right

Answer 2

Answer:

SRS

Step-by-step explanation:

As, PS is perpendicular to line segment QR, it forms two right angled triangles named ∆PSR and ∆PSQ.

According to the Pythagoras Theorem,

Hypotenuse² = Base² + Altitude²

In ∆PSR:

PS² = SR² + PR²

In  ∆PSQ:

PS² = SQ² + QP²