Determine the value of x. Use the Pythagorean Theorem. Show your work.
1 answer:
The value of x (hypotenuse) using the Pythagorean Theorem is 5 units.
<h3>What is Pythagorean Theorem?</h3>- The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in familiar algebraic notation, a² + b², are equal to the c² which is the hypotenuse.
So, the formula of the Pythagorean Theorem:
- c² = a² + b²
Where a (AC) = 4 and b (CB) = 3 as the given figure is symmetric and so line CB will be equal to 3.
Now,
- c² = a² + b²
- c² = 4² + 3²
- c² = 16 + 9
- c² = 25
- c = √25
- c = 5
Therefore, the value of x using the Pythagorean Theorem is 5 units.
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