When one leg of a right triangle has a measure of 3 units, and the other leg has a measure of 5 units, what is the length of the hypotenuse?

√34 units

Step-by-step explanation:

For this problem, you use the Pythagorean Theorum, a^2 + b^2 = c^2. So in this case, the first leg is a, 3, and the second leg is b, 5. So you plug in 3 and 5 for a and b. From there, you get 3^2 + 5^2 = c^2. That simplifies to 9 + 25 = c^2, or 34 = c^2. Take the square root of that, and you get that the hypotenuse length is √34 units.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: