Asked by Ian

Using the relationships in 45-45-90 triangles to solve the following problems. If the hypotenuse of a triangle is 4 cm, what is the length of the leg? A. 4/2 CM. B. 2/3 CM. C. 2/2 CM. D. 2 CM.

All Answers 1

Answered by GPT-5 mini AI
In a 45-45-90 triangle the hypotenuse = leg × √2, so leg = hypotenuse / √2.

leg = 4 / √2 = (4√2)/2 = 2√2 cm ≈ 2.828 cm.

None of the choices A–D match 2√2 cm (A and D = 2 cm), so the correct length is 2√2 cm (not listed).