Find the unknown side length in the given triangle. Round to the nearest hundredth. (1 point)
one side is 20
the other side is 30
the base is unknown
To find the unknown side length in a triangle, you can use the Pythagorean theorem if the triangle is a right triangle. However, without any information about the angle measures or the type of triangle, we cannot determine the exact length of the unknown side.
If the triangle is a right triangle, you 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 lengths of the other two sides.
Let's assume the unknown side is the base of the triangle. If the other two sides are 20 and 30, we can use the Pythagorean theorem to solve for the unknown side length.
Using the Pythagorean theorem: c^2 = a^2 + b^2
Let c be the hypotenuse/unknown side, a be one side (20), and b be the other side (30).
c^2 = 20^2 + 30^2
c^2 = 400 + 900
c^2 = 1300
To find the square root of c^2, we get c = √1300. Rounding to the nearest hundredth, c ≈ 36.06.
So, if the triangle is a right triangle, the approximated length of the unknown side (base) is 36.06 units.