Respuesta :
Answer:
square root 189 i did the math and google says the same
Step-by-step explanation:
Answer: C. square root 189 in.
Step-by-step explanation:
Given : The length of the hypotenuse of a right triangle is 15 in.
The length of one leg = 6 in.
Let x be the length of other leg, then
According to Pythagoras theorem ,we have
Hypotenuse² = Perpendicular² + Base²
[tex]\Rightarrow\ 15^2=6^2+x^2\\\Rightarrow225=36+x^2\\\Rightarrow\ x^2=225-36=189\\\Rightarrow x=\sqrt{189}\ in.[/tex]
Hence, the length of the other leg is [tex]\sqrt{189}\text{ in.}[/tex]
Thus , the correct answer is C. square root 189 in.