Answer:
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
→ <em>There is a relation between the side of length 60, the part of the </em>
<em> length 36, and the length of the hypotenuse</em>
∵ 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
