Answer:
y = 12 x = 12√2 z = 12√3
Step-by-step explanation:
The 45° triangle will also have a height of y so....
y² + y² = x² 2y² = x² y² = x²/2 y = √(x²/2)
The 30° triangle
y² + z² = 24² y² = 24² - z² y = √(24² - z²)
sin 30 = y/24 1/2 = y/24 y = 12
y² = x²/2
12² = x²/2²
2(144) = x² x = √(288) x = 12√2
y² + z² = 24²
z² = 24² - y²
z² = 24² - 12²
z² = 576 - 144
z² = 432
= √(16·9·3)
z = 4·3√3
z = 12√3
y² + z² = 24²
12² + (12√3)² = 24²
144 + 144·3 = 576
2y² = x²
2(12)² = x²
288 = (12√2) = 144·2 = 288
