In right triangle with , is more than , and . In right trian...

Question Analysis:
This question tests congruence proofs for right triangles using multiple criteria (HL, SSS, SAS) while incorporating algebraic relationships between sides.

Key Concept Explanation:
HL: Hypotenuse-Leg congruence (right triangles only)
SSS: Side-Side-Side congruence
SAS: Side-Angle-Side congruence
Pythagorean Theorem: a² + b² = c² in right triangles

Step-by-Step Solution:
Find missing sides:
For △MNO:
Let MO = x ⇒ MN = x + 2
x² + 8² = (x + 2)² ⇒ x² + 64 = x² + 4x +4 ⇒ 60 = 4x ⇒ x = 15
∴ MO = 15, MN = 17
For △PQR:
QR = √(10² - 6²) = 8
Compare triangles:
MN = PQ = 17 (hypotenuses)
NO = QR = 8
MO = PR = 15
∠O = ∠R = 90°

Option Analysis:
✅ A (HL): Valid (Hypotenuse MN = PQ = 17 and leg NO = QR = 8)
✅ B (SSS): Valid (All sides equal)
✅ C (SAS): Valid (Two sid...

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