The hypotenuse of a 45°-45°-90° triangle measures 18 cm. What is the length of one leg of the triangle?

Question

Mathematics

Gaige Fernandez

21 May, 15:15

The hypotenuse of a 45°-45°-90° triangle measures 18 cm. What is the length of one leg of the triangle?

+3

Answers (1)

Know the Answer?

Madalynn · Answer 1

Special prpoerty of 45-45-90 triangle

if the legs are x then the hyptonuse is x√2

18=hyptonuse=x√2

18=x√2

divide both sides by √2

18/√2

make denomenator nice

times by √2/√2

(18√2) / (2)

9√2

one leg is 9√2 cm