QQuestionMathematics
QuestionMathematics
# Applying the Pythagorean Theorem
What is the value of x?
x = \boxed{10}
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Answer
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Step 1:I'll solve this step-by-step using the Pythagorean Theorem.
Step 2:: Identify the right triangle
- We need to find the length of the third side ($$x$$)
- We have a right triangle with two known sides - One side is 6 units long - The other known side is 8 units long
Step 3:: Recall the Pythagorean Theorem
Where $$c$$ is the length of the hypotenuse (longest side)
The Pythagorean Theorem states that in a right triangle:
Step 4:: Substitute known values
- Let $$c = x
- Let b = 8
Step 5:: Apply the Pythagorean Theorem
6^{2} + 8^{2} = x^{2}
Step 6:: Calculate
36 + 64 = x^{2}
100 = x^{2}
Step 7:: Solve for x
x = \sqrt{100}
x = 10
Final Answer
x = 10
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