In a 45-45-90 triangle, if one leg is 8, what is the length of the hypotenuse?
Explanation
📌 Step 1: Recall the 45-45-90 triangle relationships
In a 45-45-90 triangle:
• Both legs are equal
• Hypotenuse = leg × √2
📌 Step 2: Apply the formula
leg = 8
hypotenuse = 8 × √2 = 8√2 ≈ 11.31
💡 Memory trick: In a 45-45-90 triangle, think "multiply by √2 to get the hypotenuse." For a 30-60-90, the ratios are 1 : √3 : 2.