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

The legs are 12 cm each, so the hypotenuse is
√(144+144)=12√2
☺☺☺☺

Answer 2

Answer

16.97 cm

Explanation

A triangle having the angles 45°-45°-90° shows that it is an isosceles triangle.

The 2 legs are equal.

Using the Pythagoras theorem;

c² = a² + b²

Where a and b are the lengths of the legs and c is the hypotenuse.

c² = a² + b²

c² = 12² + 12²

    = 144 + 144

    = 288

c = √288

  = 16.97 cm

There is no correct answer in your choices. The length of the hypotenuse is 16.97 cm.