In right triangle with , , and the area of is . In right tri...

Question Analysis:
This question tests congruence proofs for right triangles using multiple criteria (HL, SSS, SAS) while incorporating area calculations.

Key Concept Explanation:
- HL: Hypotenuse-Leg congruence (right triangles only)
- SSS: Side-Side-Side congruence
- SAS: Side-Angle-Side congruence
- Area Formula: For right triangles, Area = (leg₁ × leg₂)/2

Step-by-Step Solution:
1. Find missing sides:
- For △GHI:
Area = 24 = (6 × HI)/2 ⇒ HI = 8
GI = √(6² + 8²) = 10
- For △JKL:
KL = √(10² - 6²) = 8

2. Compare triangles:
- GH = JK = 6
- HI = KL = 8
- GI = JL = 10
- ∠H = ∠K = 90°

Option Analysis:
✅ A (HL): Valid (Hypotenuse GI = JL = 10 and leg GH = JK = 6)
✅ B (SSS): Valid (All sides equal)
✅ C (SAS...

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