Answer:
x = 2[tex]\sqrt{13}[/tex].
Step-by-step explanation:
Given : A right triangle with two perpendicular sides 4 , 6.
To find : value of x .
Solution : We have given A right triangle with two perpendicular sides
Shortest leg = 4 unit
Longer leg = 6 unit.
Hypotenuse = x .
By the Pythagorean theorem :
(Hypotenuse)² = (Longer leg)²+ ( Shortest leg)².
Plug the values
(x)² = (6)²+ (4)².
(x)² = 36 + 16 .
(x)² = 52
Taking square root both sides
x = [tex]\sqrt{52}[/tex].
x = [tex]\sqrt{4 * 13}[/tex].
x = [tex]\sqrt{4}[/tex] *[tex]\sqrt{13}[/tex].
x = 2[tex]\sqrt{13}[/tex].
Therefore, x = 2[tex]\sqrt{13}[/tex].
