Question

Solve for x
50 points. Thanks

Answer 1

Apply Pythagorean theorem

• H²-P²=B²
• (x+18)²-x²=24²
• (x+18+x)(x+18-x)=576
• (2x+18)(18)=576
• 2x+18=32
• 2x=14
• x=7

Answer 2

x = 7

Explanation:

From the figure, we can see the figure is a right triangle. To find the value of x, we need to apply the Pythagorean Theorem.

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Solving :

⇒ (x)² + (24)² = (x + 18)²

⇒ x² + 576 = x² + 36x + 324

⇒ 36x = 576 - 324

⇒ 36x = 252

⇒ x = 252/36

⇒ x = 7