Question

Question Use the equation to find the length of the missing leg measure. 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= Skip to navigation

Answer 1

To find the missing leg measure \( a \) using the equation \( a^2 + 162 = 202 \):

1. Evaluate the powers: \[ a^2 + 162 = 202 \]

2. Isolate the variable: Subtract 162 from both sides: \[ a^2 = 202 - 162 \] \[ a^2 = 40 \]

3. Take the square root of both sides: \[ a = \sqrt{40} \]

4. Simplify the square root: \[ a = \sqrt{4 \times 10} = 2\sqrt{10} \]

The missing side length is \( a \approx 6.32 \) when calculated numerically (if you are asked for a decimal approximation). However, strictly in numerical terms based on the square root expression, you would write \( 2\sqrt{10} \).

Since the task requires only numerical answers, you can write down: 6.32