Question

In ΔPQR, PS is the bisector of ∠QPR and Q-S-R, If PQ=8 cm, QS=6 cm and SR=3 cm, find PR. Please answer this question!!! This is the 2nd time i am asking. Please!!! It's urgent!!!

Answer 1

$\huge\star\underline\mathfrak\red{Answer:-}$

⠀⠀⠀⠀ ❐ ...Given... ❐⠀

⠀⠀PQ = 6cm

⠀⠀PR = 8cm⠀

⠀⠀QS = 3cm⠀⠀ ⠀

⠀⠀⠀⠀ ❐ ...To find... ❐⠀

⠀The length of QR...

⠀⠀⠀⠀ ❐ ...SoLution... ❐⠀

⠀We know that QS is the bisector...

⠀ So,

⠀⠀⠀⠀SR = PR / 2

⠀⠀⠀⠀SR = 4cm

⠀Using Pythagoras theorem...

⠀⠀QS² + SR² = QR²

⠀⠀(3)² + (4)² = QR²

⠀⠀ 9 + 16 = QR²

⠀ ⠀25 ⠀ = QR²⠀

⠀⠀⠀√25 = QR

⠀⠀ ⠀5cm = QR⠀ ⠀⠀

⠀Thereforw, the Length of QR will be 5cm...

HOPE SO IT WILL HELP.....

PLEASE MARK IT AS BRAINLIST.....