Answer:
5.65 cm
Step-by-step explanation:
We are given that the length of each leg of an isosceles right triangle is 4 cm and we are to find the length of the hypotenuse.
For this, we will use the Pythagoras Theorem:
[tex] a ^ 2 = b ^ 2 + c ^ 2 [/tex]
where [tex]a[/tex] is the hypotenuse.
[tex] a ^ 2 = 4 ^ 2 + 4 ^ 2 [/tex]
[tex] \sqrt { a ^ 2} = \sqrt { 3 2 } [/tex]
[tex] a = 5 . 6 5 [/tex]
Therefore, the length of the hypotenuse is 5.65 cm.
