Answer:
x = 6√(2)
x = 6√(2)y = 6√(2)
Step-by-step explanation:
- Sides equal opposite to equal angles are always equal -----------<1>
- If one angle of triangle is 90°, then it is a right triangle, can find sides with the help of Pythagoras Theorem. -----------<2>
- The sum of all three sides of any triangle is 180°. -----------<3>
→ Given angles of triangle = 45° + 45° + 90° {from <3>}
→ x = y {because of <1>}
→ H² = P² + B² (Pythagoras Theorem) {from <2>}
→ (12)² = x² + y²
→ 144 = x² + x² [x = y]
→ 144 = 2x²
→ 144/2 = x²
→ 72 = x²
→ √(72) = x
→ 6√2 = x
→ x = y
so,
x = 6√2 = y
HOPE THIS HELPS YOU
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