Find the missing variables pythagorean theorem

Mathematics

1 answer:

worty [1.4K]3 years ago

5 0

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

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First recognize that the unit rate we're finding is gallons per hour, or $\frac{g}{h}$ .

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