what is the horizontal distance in ft of a right triangle with a height of 25ft and a hypotenuse of 39ft
To find the horizontal distance in a right triangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides:
c^2 = a^2 + b^2
Where:
c = hypotenuse
a and b = other two sides (legs)
Given:
- Height (a) = 25 ft
- Hypotenuse (c) = 39 ft
Plugging in the values:
39^2 = 25^2 + b^2
1521 = 625 + b^2
896 = b^2
b = √896
b ≈ 29.93 ft
Therefore, the horizontal distance (b) in the right triangle is approximately 29.93 ft.