Respuesta :

Pythagorean Theorem:
s^2 + 3^2 = 18
s^2 = 9
s = 3

answer is B


Answer:  The correct option is (B) 3.

Step-by-step explanation:  We are given to find the length of the leg s in the triangle shown in the figure.

From the figure, we note that

the given triangle is a right-angled one, where

length of the hypotenuse, H = √18 units,

length of one leg, P = 3 units

and

length of the other leg, s = B =?.

From Pythagoras theorem, we have

[tex]H^2=P^2+B^2\\\\\Rightarrow (\sqrt{18})^2=3^2+B^2\\\\\Rightarrow 18=9+B^2\\\\\Rightarrow B^2=18-9\\\\\Rightarrow B^2=9\\\\\Rightarrow B=3.[/tex]

Thus, the length of the leg s is 3 units.

Option (B) is CORRECT.

ACCESS MORE