Question

PQRS is a kite and QS is its line of symmetry. Angle P=angle R=90, QR=36cm and RS=16cm. Find the length QS.

Answer 1

$\huge\red{\boxed{\mathbb\fcolorbox{green}{pink}{\dag{HELLO\:MATE}}}}$

HELLOMATE

BY PYTHAGORAS THEOREM

QS² = QR² + RS²

QS² = 36² + 16²

QS² = 1296 + 256

QS² = 1552

QS = √1552

QS = √2×776

QS = √ 2× 2 ×388

QS = √ 2 × 2 × 2 × 194

QS = √ 2 × 2 × 2 × 2 × 97

QS = 4 √ 97

QS = 4 √ 97 cm²

$\huge\red{\boxed{\mathbb\fcolorbox{green}{skyblue}{\dag{ANSWER}}}}$

QS = 4√97 CM²