Question

Find KL pls fast correct answer

Answer 1

• 14

Explanation:

According to intersecting secants theorem:

• KL*JL = ML²

Substitute values and solve for x:

• (x - 1)(x - 1 + 7) = 12²
• (x - 1)(x + 6) = 144
• x² - 5x - 6 = 144
• x² - 5x - 150 = 0
• x² - 15x + 10x - 150 = 0
• x(x - 15) + 10(x - 15) = 0
• (x - 15)(x + 10) = 0
• x = 15
• x = -10 (ignored as negative)

Find the value of Kl

• KL = x - 1 = 15 - 1 = 14