Question

sketch the right triangle and find the length of the side not given. (each length is in units.) leg = 4, leg = 7.5 determine the correct sketch of the right triangle for the given problem. choose the correct answer below. a. triangle with leg 4, leg 7.5, right angle b. triangle with hypotenuse 7.5, leg 4 c. non - right triangle d. non - right triangle the length of the side not given is \boxed{} units. (type a whole number or decimal rounded to the nearest thousandth as needed.)

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle with legs \(a\) and \(b\), and hypotenuse \(c\), the theorem is \(c = \sqrt{a^2 + b^2}\). Here, \(a = 4\), \(b = 7.5\).

Step2: Calculate \(a^2 + b^2\)

\(a^2 = 4^2 = 16\), \(b^2 = 7.5^2 = 56.25\). Then \(a^2 + b^2 = 16 + 56.25 = 72.25\).

Step3: Find the hypotenuse

Take the square root of \(72.25\): \(c = \sqrt{72.25} = 8.5\).

Answer:

8.5