Question

In an equilateral triangle PQR, S is a point on side QR such that SQ SR = 1/3 . Prove that 16P * S ^ 2 = 13Q * R ^ 2 .
please give the solution and explanation fully.
whoever will give the ans correctly.I will mark them as brainliest​

Answer 1

Step-by-step explanation:

PT be the perpendicular from P on QR. Hence,QT= 21

QR ST=QR(21− 31)= 61

QR PS 2=PT 2+ST 2

also,PT=QTtan60∘

PT=3

QT PS 2=3QT 2+36

QR 2 PS 2=43

QR 2+36

QR 2

PS 2=36

28QR 2= 97QR 2

QR=PQ

9PS 2=7PQ

2