Question

what is the length of the missing leg? if necessary, round to the nearest tenth.
b = centimeters

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$, where \(c = 7\) (hypotenuse), \(a = 2\) (one leg), and \(b\) is the missing leg.

Step2: Substitute values into the formula

$$2^{2}+b^{2}=7^{2}$$
$$4 + b^{2}=49$$

Step3: Solve for \(b^{2}\)

$$b^{2}=49 - 4$$
$$b^{2}=45$$

Step4: Find \(b\)

$$b=\sqrt{45}$$
$$b\approx6.7$$ (rounded to the nearest tenth)

Answer:

\(6.7\)