Find the unknown side length in the given triangle. Round to the nearest hundredth. (1 point)
Side b= 20 Side c=30 unknown side= side a
To find the unknown side length (side a), you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, side c is the hypotenuse, so we can use the Pythagorean theorem to solve for side a:
a^2 + b^2 = c^2
Thus, a^2 + 20^2 = 30^2
a^2 + 400 = 900
a^2 = 900 - 400
a^2 = 500
Taking the square root of both sides, we find:
a = √500
Using a calculator or estimating, √500 is approximately 22.36.
Therefore, the unknown side length (side a) is approximately 22.36 units.
Who said it was a right triangle?
I apologize for assuming that the triangle was a right triangle. Without any information about the angles or additional side lengths of the triangle, it is not possible to determine the unknown side length accurately.
To find the unknown side length (side a) in the given triangle, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right-angled 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 lengths of the other two sides.
The unknown side (side a) is one of the other two sides, so we can use the theorem to find its length.
The theorem can be written as:
a^2 + b^2 = c^2
Given:
Side b = 20
Side c = 30
Substituting the values into the equation, we get:
a^2 + 20^2 = 30^2
Simplifying:
a^2 + 400 = 900
Subtracting 400 from both sides of the equation:
a^2 = 900 - 400
a^2 = 500
To find the value of a, we take the square root of both sides of the equation:
√(a^2) = √500
Taking the square root:
a = √500
Rounding to the nearest hundredth:
a ≈ 22.36
Therefore, the approximate length of the unknown side (side a) is 22.36 units.