Plzzz help find the missing length indicated?

The missing length is 64

Step-by-step explanation:

In the given figure

∵ The triangle is a right triangle

∵ There is a line drawn from the right angle ⊥ to the hypotenuse

→ There is a relation between the side of length 60, the part of the

   length 36,  and the length of the hypotenuse

∵ The length of the hypotenuse = x + 36

∴ (60)² = 36 × (x + 36)

→ Multiply the bracket by 36

∴ 3600 = 36(x) + 36(36)

∴ 3600 = 36x + 1296

→ Subtract 1296 from both sides

∵ 3600 - 1296 = 36x + 1296 - 1296

∴ 2304 = 36x

→ Divide both sides by 36 to find x

∴ 64 = x

∴ The missing length is 64

17 1/3

step-by-step explanation:

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