Question

What is the length of the unknown

leg of the right triangle?
5 ft
6 ft
(The figure is not drawn
to scale.)
The length of the unknown leg of the right triangle is
(Round to one decimal place as needed.)
ft.

Answer 1

a = 3.31ft.

Explanation:

Pythagorean Theorem

• The Pythagorean Theorem explains the connection between a right triangle's three sides. The area of the square produced on the hypotenuse of any right triangle is equal to the sum of the areas of the squares formed on its legs: a2 + b2 = c2.

• a, is the shortest leg of the triangle or the opposite.
• b, is the adjacent leg of the triangle. This leg typically forms the right angle of the triangle.
• c, is the hypotenuse. This is the longest leg of the triangle.

Applying the theorem

1. 
   `a^(2) + b^(2) = c^(2)`
2. 
   `a^(2) +5^(2) = 6^(2)`
3. 
   `a^(2) = 6^(2) - 5^(2)`
4. 
   `a^(2) = 36-25`
5. 
   `\sqrt{a^(2) } = √(11)`
6. 
   `a = 3.31 feet`

The opposite is 3.31 feet.

Please let me know if this helped!!!