Question

Answer this

Don't spam⚠️

Copied Answer not allowed ​

Answer 1

$\Large{\underbrace{\sf{\purple{Required\:Answer:}}}}$

$\underline{\underline{\huge{\gray{\tt{\textbf Given :-}}}}}$

• PA, QB, RC,& SD are perpendicular on line l.

$\underline{\underline{\huge{\red{\tt{\textbf Find :-}}}}}$

• PQ, QR & RS

$\underline{\underline{\huge{\blue{\tt{\textbf construction :-}}}}}$

• produce SP  & l to meet each other at E.

$\underline{\underline{\huge{\gray{\tt{\textbf Proof :-}}}}}$

• In ΔEDS,

AP║ BQ║DS║CR        [ given]

∴ PQ : QR: RS  = AB:BC:CD

PQ : QR: RS = 6:9:12

Let PQ= 6x  , QR= 9x    RS= 12x

PS = PQ+QR+RS

∴ PQ+QR+RS=36                  [PS=36cm]

6x + 9x + 12x = 36

27x = 36

x = 36/27 = 4/3

x = 4/3

∴ PQ = 6x = 6× 4/3

PQ = 8cm

QR = 9x = 9 × 4/3

QR= 12cm

RS = 12x = 12× 4/3

RS = 16 cm

• Hence PQ = 8cm , QR = 12cm,   RS = 16 cm

⠀⠀───────────────

Answer 2

Answer:

RequiredAnswer:

$\underline{\underline{\huge{\gray{\tt{\textbf Given :-}}}}} </p><p>$

PA, QB, RC,& SD are perpendicular on line l.

$</p><p>\underline{\underline{\huge{\red{\tt{\textbf Find :-}}}}}$

PQ, QR & RS

$\underline{\underline{\huge{\blue{\tt{\textbf construction :-}}}}}$

produce SP & l to meet each other at E.

$\underline{\underline{\huge{\gray{\tt{\textbf Proof :-}}}}} </p><p>$

In ΔEDS,

AP║ BQ║DS║CR [ given]

∴ PQ : QR: RS = AB:BC:CD

PQ : QR: RS = 6:9:12

Let PQ= 6x , QR= 9x RS= 12x

PS = PQ+QR+RS

∴ PQ+QR+RS=36 [PS=36cm]

6x + 9x + 12x = 36

27x = 36

x = 36/27 = 4/3

x = 4/3

∴ PQ = 6x = 6× 4/3

PQ = 8cm

QR = 9x = 9 × 4/3

QR= 12cm

RS = 12x = 12× 4/3

RS = 16 cm

Hence PQ = 8cm , QR = 12cm, RS = 16 cm

⠀⠀───────────────