Answer :
Let the length of the leg = x
Hypotenuse = 4x
We will use the Pythagorean Theorem to solve x:
Formula:
a² + b² = c²
Plug in the values:
x² + 375 = (4x)²
Evaluate the bracket:
x² + 375 = 16x²
Take x² away from both sides:
15x² = 375
Divide both sides by 15:
x² = 75
Square Root both side:
x = 5√3
Answer: x = 5√3
Hypotenuse = 4x
We will use the Pythagorean Theorem to solve x:
Formula:
a² + b² = c²
Plug in the values:
x² + 375 = (4x)²
Evaluate the bracket:
x² + 375 = 16x²
Take x² away from both sides:
15x² = 375
Divide both sides by 15:
x² = 75
Square Root both side:
x = 5√3
Answer: x = 5√3