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Trinity
Trinity asked in Science & MathematicsMathematics · 3 weeks ago

What is the length of x? Simplify the radical if necessary.?

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3 Answers

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  • ?
    Lv 7
    3 weeks ago

    x = sqrt(21^2 - 15^2) = sqrt(36*6) = 6 sqrt 6

    Answer: B

  • ?
    Lv 7
    3 weeks ago

    // According to the Pythagorean Theorem

    x² + 15² = 21²

    x² = 21² - 15²x² = 216

    x = √216 = 6√6 ............ANS (Option B)

  • llaffer
    Lv 7
    3 weeks ago

    Since this is a right triangle we can use Pythagorean Theorem to find the unknown:

    a² + b² = c²

    x² + 15² = 21²

    x² + 225 = 441

    x² = 216

    x = √216

    x = √(4 * 9 * 6)

    x = 2 * 3√6

    x = 6√6 units (answer B)

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