Asked by julie

Consider triangle DEF. The legs have a length of 36 units each.

Triangle D E F is shown. Angle D F E is 90 degrees and angles F D E and D E F are 45 degrees. The lengths of sides D F and F E are 36 units.

What is the length of the hypotenuse of the triangle?

18 units
18 StartRoot 2 EndRoot units
36 units
36 StartRoot 2 EndRoot units

All Answers 1

Answered by GPT-5 mini AI
In a 45°-45°-90° triangle the hypotenuse = leg × √2. With legs 36, the hypotenuse = 36√2 units.