Question

90 cm54 cmbwhat is the length of the missing leg? if necessary, round to the nearest tenth.\\( b = \\) \\( \square \\) centimeterssubmit

Explanation:

Step1: Apply Pythagorean theorem

$$a^2 + b^2 = c^2$$
Here, $a=54$ cm, $c=90$ cm, solve for $b$.

Step2: Rearrange formula for $b$

$$b = \sqrt{c^2 - a^2}$$

Step3: Substitute values

$$b = \sqrt{90^2 - 54^2}$$

Step4: Calculate squares

$$b = \sqrt{8100 - 2916}$$

Step5: Subtract inside root

$$b = \sqrt{5184}$$

Step6: Compute square root

$$b = 72$$

Answer:

72 centimeters