Question

in right angle triangle PQR if Angle p = 60 degree angle R= 30 degree and PR =12 then find the value of PQand QR​

Answer 1

the given

right angle triangle

p=60

R=30

Q=90

PR=12

NOW. SIN30=PARPANDICULAR/HIRPOTANISH

SIN30=PQ/PR

1/2=PQ/12

PQ=6

THAN

TAN30 =PQ/QR

1/√3=6/QR

QR=2√3

Answer 2

Therefore, the value of $PQ$ and $QR$ are $6units$ and $6\sqrt{3} units$

Step-by-step explanation:

Given;

For a right angle triangle $PQR$, $\angle P=60$°,$\angle R=30$° and $PR=12units$

∴$\angle Q=90$° (∵ $\bigtriangleup PQR$ is right angle triangle)

From figure,

$sin30=\frac{PQ}{PR}$

⇒$PQ=\frac{1}{2}\times 12$

∴$PQ=6units$

And,

$tan30=\frac{PQ}{QR}$

⇒$QR=\frac{6}{\frac{1}{\sqrt{3} } }$

∴$QR=6\sqrt{3} units$

So, the value of $PQ$ and $QR$ are $6units$ and $6\sqrt{3} units$