Question

4) PQR is triangle having all sides equal. Point A is on QR such that AR = QR / 3 . Find PA if PQ = 6 cm​

Answer 1

Answer:

2√7cm

Step-by-step explanation:

QR=6

AR=2

AREA OF PQR= (√3/4)*6*6

AREA= 9√3

ALSO

1/2* B* h=AREA

1/2*6*h=9√3

H=3√3

NOW,

LET THE POINT WHERE THE HEIGHT TOUCHES THE BASE BE m

HENCE, NOW CONSIDE TRIANGLE PMA

WHICH IS A RIGHT ANGLED TRIANGLE

PM SQUARE+AM SQUARE=PA SQUARE

(3√3)^2+1=PA^2

=27+1

=28

PA^2=28

PA=√28

PA=2√7 CM