Respuesta :

Using Pythagoras' theorem

hyp²= side²+side²

hyp²= 4²+5²

hyp²= 16+25

hyp= 41

hyp= √41

hyp= 6.40

Therefore the length of the hypotenuse is √41.

HOPE THIS HELPS!!!! ;-)
JoshEast

Answer:

√41 units

Step-by-step explanation:

If 'a' and 'b' are the legs of a triangle while 'c' is the hypotenuse,

Then by Pythagoras theorem, a² + b² = c²

By substituting in the values from the question:

⇒ (4 units)² + (5 units)² = c²

⇒ c² = 41 units²²

⇒ c = √41

Thus the length of the hypotenuse is √41 units

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