A right triangle hypotenuse has length of 5. If one keg has length of 2, what is the length of the other leg?
x^2 + 2^2 = 5^2
solve for x
a^2 + b^2 = c^2
2^2 + b^2 = 5^2
4 + b^2 = 25
b^2 = 21
b = 4.5826
To find the length of the other leg of the right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Here, we are given that the hypotenuse has a length of 5. Let's call one leg of the triangle, whose length we want to find, as "a".
According to the Pythagorean theorem, we have:
5^2 = a^2 + 2^2
Simplifying this equation, we get:
25 = a^2 + 4
To isolate "a^2", we subtract 4 from both sides of the equation:
a^2 = 25 - 4
a^2 = 21
Taking the square root of both sides of the equation, we find:
a = √21
Therefore, the length of the other leg of the right triangle is √21 (approximately 4.58, rounded to two decimal places).