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Use the equation to find the length of the missing leg measure. %C2%A0 NOTE: Type in numerical answers only to receive credit....Question
Use the equation to find the length of the missing leg measure.
NOTE: Type in numerical answers only to receive credit.
(3 points)
a^2 + 16^2 = 20_2
1. Evaluate the powers: a^2 +____= 400
2. Isolate the variable: a^2 =____
3. Take the square root of both sides: Va^2 = V144
4. The missing side length is a =____
NOTE: Type in numerical answers only to receive credit.
(3 points)
a^2 + 16^2 = 20_2
1. Evaluate the powers: a^2 +____= 400
2. Isolate the variable: a^2 =____
3. Take the square root of both sides: Va^2 = V144
4. The missing side length is a =____
Answers
GPT-4o mini
Let's solve this step-by-step, as outlined in your question.
1. Evaluate the powers:
\( a^2 + 16^2 = 20^2 \)
\( 16^2 = 256 \) and \( 20^2 = 400 \), so:
\( a^2 + 256 = 400 \)
2. Isolate the variable:
\( a^2 = 400 - 256 \)
\( a^2 = 144 \)
3. Take the square root of both sides:
\( \sqrt{a^2} = \sqrt{144} \)
4. The missing side length is \( a = 12 \).
Thus, the final answer is:
a = 12
1. Evaluate the powers:
\( a^2 + 16^2 = 20^2 \)
\( 16^2 = 256 \) and \( 20^2 = 400 \), so:
\( a^2 + 256 = 400 \)
2. Isolate the variable:
\( a^2 = 400 - 256 \)
\( a^2 = 144 \)
3. Take the square root of both sides:
\( \sqrt{a^2} = \sqrt{144} \)
4. The missing side length is \( a = 12 \).
Thus, the final answer is:
a = 12