Question

What is the length of the unknown leg of the right​ triangle? And please put the answer as a decimal

Answer 1

3.87 ft = Length of unknown side of the right triangle.

Explanation:

Given,

Hypotenuse = 4 ft

Base = 1 ft

Altitude = x

Hypotenuse² = Base² + Altitude²

4² = 1² + x²

4² - 1² = x²

16 - 1 = x²

15 = x²

√15 ft = x

3.87 ft = x

Hope it helps ⚜

Answer 2

`\huge\boxed{\bf\:3.87 \: ft = Missing \: length}`

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

`\sf\:4^(2) = 1^(2) + Altitude^(2)\\\sf\:16 = 1 + Altitude^(2)\\\sf\:16 - 1 = Altitude^(2)\\\sf\:15 = Altitude^(2)\\\sf\:√(15) = Altitude\\\boxed{\bf\:3.87 ft = Altitude}`

`\rule{150}{2}`