Question

Each leg of a 45°-45°-90° triangle measures 12 cm. What is the length of the hypotenuse? 6 cm cm 12 cm cm

Answer 1

12√2 cm because
hypotenuse ^2 = perpendicular^2 + base^2
=> h^2 = 12^2 + 12^2
=> h^2 = 144 + 144
=> h^2 = 288
=> h = √288
=> h = 12√2 cm

Answer 2

Given that 45°- 45°- 90° triangle is a isosceles triangle.

⇒ equal sides = 12 cm

⇒ It is a right angle triangle

Find the hypotenuse:

a² + b² = c²

c² = 12² + 12²

c² = 288

c = √288

c = 12√2 cm

Answer: The length of the hypotenuse is 12√2 cm