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If a = 4 and b = 14, what is c (rounded to the nearest tenth) using the Pythagorean theorem?

a) 14.4
b) 10.3
c) 15.6
d) 12.8

User JTaub
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1 Answer

5 votes

Final answer:

The Pythagorean theorem can be used to find the value of c in a right triangle when given the lengths of the other two sides. By substituting the given values of a and b into the theorem and solving for c, we can find the answer.

Step-by-step explanation:

The Pythagorean theorem relates the lengths of the legs of a right triangle, labeled a and b, with the hypotenuse, labeled c. The relationship is given by: a² + b² = c². To find the value of c, substitute the given values of a and b into the equation and solve for c.

Given a = 4 and b = 14, we have: 4² + 14² = c². This simplifies to 16 + 196 = c², and further simplifies to 212 = c². Taking the square root of both sides, we get c = √212, which is approximately 14.6.

Rounded to the nearest tenth, c is approximately 15.6. Therefore, the correct answer is option c) 15.6.

User Shwetal
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