12 PQRS is a kite and QS is its line of symmetry. Angle P = angle R 90°, QR = 36 cm and RS = 16 cm. Find the length QS. INVESTIGATION The whole numbers 3, 4, and 5 form a Pythagorean triple because:
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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
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