Find the missing side of the right triangle. Round your answer to the nearest tenth.
a2+b2=c2
(5 points)
x =
There is no enough information given in the question to solve it. We need the lengths of at least two sides of the right triangle to find the missing side using the Pythagorean theorem.
To find the missing side of the right triangle, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's label the missing side as "x". According to the Pythagorean theorem, we have the equation:
a^2 + b^2 = c^2
where "a" and "b" are the lengths of the other two sides of the triangle, and "c" is the length of the hypotenuse.
In this case, we are given two sides with lengths 5. So our equation becomes:
5^2 + 5^2 = x^2
Simplifying this equation, we have:
25 + 25 = x^2
50 = x^2
To find the value of "x", we need to take the square root of both sides of the equation:
√50 = √x^2
Since we only need the positive value, we get:
x ≈ 7.1
Therefore, the missing side of the right triangle is approximately 7.1.
To find the missing side of a right triangle, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the given equation a^2 + b^2 = c^2 represents the Pythagorean Theorem. We need to find the value of x, which represents one of the sides of the triangle.
To find x, we need to have the values of a and c. Since we only have c (which is the hypotenuse), we need to use the given information to find the lengths of a and c.
However, in the given information, we only have 5 points. This is not sufficient to calculate the length of any side of the triangle. We would need at least two sides or angles of the triangle to solve for the missing side.
Therefore, we cannot find the missing side of the right triangle with the given information.