Use the equation to find the length of the missing leg measure.

Question

NOTE: Type in numerical answers only to receive credit.

(3 points)
a2+162=202

1. Evaluate the powers: a2+___=400

2. Isolate the variable: a2=___

3. Take the square root of both sides: a2−−√=144−−−√

4. The missing side length is a= ___

Answer 1

Let's solve the equation step by step based on the provided format.

Given the equation: \[ a^2 + 162 = 202 \]

1. Evaluate the powers: \[ a^2 + 162 = 202 \] If you replace 202 with 400 to complete the provided instruction: \[ a^2 + 162 = 400 \]

2. Isolate the variable: \[ a^2 = 400 - 162 \] \[ a^2 = 238 \]

3. Take the square root of both sides: \[ a = \sqrt{238} \]

4. The missing side length is: \[ a \approx 15.426 \]

So based on the provided sequence of steps, the missing leg length measure is: a = 15.426 (if you are required to keep only numerical values for your final answer, round to three decimal places).