Multiple choice

\text{What approximate value will come at place of question mark (?) in the following questions?}\\text{89}^2 + 45^2 = 36^2 + ?^2

  1. 93

  2. 86

  3. 81

  4. 99

  5. 112

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Calculate 89^2 + 45^2 = 7921 + 2025 = 9946. We have 9946 = 36^2 + ?^2, so ?^2 = 9946 - 1296 = 8650. Taking square root gives approximately 93.02, so ? ≈ 93. This is an exact calculation: 93^2 = 8649, which when added to 36^2 (1296) gives 9945, very close to 9946. Option A (93) is the correct answer.