Answer:
[tex]\huge\boxed{\bf\:3.87 \: ft = Missing \: length}[/tex]
Step-by-step explanation:
We need to find the missing length in this case.
Here, we have the base & the hypotenuse given. They are..
- Base = 1 ft
- Hypotenuse = 4 ft
Now, we need to solve for the altitude or height of the triangle.
According to the Pythagorean theorem, we know that the square of the hypotenuse will be the square of the altitude and the square of the base of the triangle. That in mathematical formula will be → Hypotenuse² = Base² + Altitude²
By using this formula and the given values,
Hypotenuse² = Base² + Altitude²
[tex]\sf\:4^{2} = 1^{2} + Altitude^{2}\\\sf\:16 = 1 + Altitude^{2}\\\sf\:16 - 1 = Altitude^{2}\\\sf\:15 = Altitude^{2}\\\sf\:\sqrt{15} = Altitude\\\boxed{\bf\:3.87 ft = Altitude}[/tex]
[tex]\rule{150}{2}[/tex]
