Question

t.3 pythagorean theorem: find the missing leg or hypotenuse l...
68
what is the length of the missing leg? if necessary, round to the nearest tenth.
b = millimeters

Explanation:

Step1: Write the Pythagorean theorem formula

$$a^{2}+b^{2}=c^{2}$$
Here, \(a = 2\), \(c=3\), and we need to find \(b\).

Step2: Substitute the values into the formula

$$2^{2}+b^{2}=3^{2}$$
$$4 + b^{2}=9$$

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

Subtract 4 from both sides:
$$b^{2}=9 - 4$$
$$b^{2}=5$$

Step4: Find \(b\)

Take the square root of both sides:
$$b=\sqrt{5}\approx2.2$$

Answer:

\(2.2\)