Apply the Pythagorean theorem to find the unknown side length in the given triangle round your answer to the nearest tenth 15 3 ?
To find the missing side length, we can use the Pythagorean theorem, which 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.
Let's denote the sides of the triangle as follows:
a = 15
b = 3
c = unknown side length
The Pythagorean theorem can be written as:
c^2 = a^2 + b^2
Plugging in the values:
c^2 = 15^2 + 3^2
c^2 = 225 + 9
c^2 = 234
Now, we can solve for c by taking the square root of both sides:
c = √234
c ≈ 15.3
Therefore, the unknown side length in the triangle is approximately 15.3.