QQuestionMathematics
QuestionMathematics
3. Find *x*, the missing side length in the right triangle. *
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Step 1:I'll solve this right triangle problem step by step, following the LaTeX formatting guidelines precisely.
Step 2:: Identify the Given Information
- We need to find the length of the missing side ($$x$$)
- We have a right triangle - The known side lengths are 5 and 12
Step 3:: Recognize the Pythagorean Theorem
The Pythagorean theorem states that in a right triangle, $$a^{2} + b^{2} = c^{2}$$, where $$c$$ is the hypotenuse (longest side)
Step 4:: Determine the Hypotenuse
- The side with length 12 is the longest side, so it's the hypotenuse - The other known side is 5
Step 5:: Apply the Pythagorean Theorem
x^{2} + 5^{2} = 12^{2}
Step 6:: Solve for x
x = \sqrt{119} \approx 10.909
x^{2} = 144 - 25
Final Answer
x = \sqrt{119} \approx 10.909
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