Question

the hypotenuse of a right triangle is 3 cm and one of the legs is 1 cm what is the length of the other leg ?

Answer 1

Answer:

2$\sqrt{2}$

Step-by-step explanation:

let the other leg be x

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 1² = 3²

x² + 1 = 9 ( subtract 1 from both sides )

x² = 8 ( take the square root of both sides )

x = $\sqrt{8}$

  = $\sqrt{4(2)}$

  = $\sqrt{4}$ × $\sqrt{2}$ = 2$\sqrt{2}$ ← exact value