Questions: 5. Trig Practice 0210 pts possible In a certain right triangle, the two sides that are perpendicular to each other are 3.08 m and 9.53 m long. What is the length of the third side of the triangle? Answer in units of m .

Solution Steps

To find the length of the third side of the right triangle, we can use the Pythagorean theorem, which states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Let's denote the two given sides as a = 3.08 m and b = 9.53 m. The length of the third side (hypotenuse) can be calculated as c = sqrt(a^2 + b^2).

Given: \( a = 3.08 \) m, \( b = 9.53 \) m

Using the Pythagorean theorem, the length of the third side (hypotenuse) can be calculated as: \[ c = \sqrt{a^2 + b^2} \]

Substitute the given values: \[ c = \sqrt{3.08^2 + 9.53^2} \]

\[ c = \sqrt{9.4864 + 90.7809} \] \[ c = \sqrt{100.2673} \] \[ c \approx 10.0154 \, \text{m} \]

Final Answer