Respuesta :
Answer:
The length of hypotenuse is 4.2 feet and length of first leg is 1.4 feet.
Step-by-step explanation:
Consider the provided information.
Let x is the length of the first leg.
It is given that the hypotenuse of a right triangle is three times the length of its first leg.
Hypotenuse = 3x
The length of the other leg is 4 feet.
Pythagorean theorem.
[tex]a^2+b^2=c^2[/tex]
Where a and b are the legs and c is the hypotenuse.
Substitute the respective values in the above formula.
[tex]x^2+4^2=(3x)^2[/tex]
[tex]x^2+16=9x^2[/tex]
[tex]16=8x^2[/tex]
[tex]2=x^2[/tex]
[tex]\sqrt{2}=x[/tex]
x = 1.4 feet(nearest tenth)
The length of hypotenuse = 3x = 3×1.4 = 4.2 feet
The length of hypotenuse is 4.2 feet and length of first leg is 1.4 feet.
