Question

find the missing dimension of a right triangle with sides a and b and hypotenuse c.
a = 6, b = 8, c =

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$

Step2: Substitute values

Substitute \(a = 6\) and \(b = 8\) into the formula:
$$6^{2}+8^{2}=c^{2}$$
$$36 + 64=c^{2}$$
$$100=c^{2}$$

Step3: Solve for \(c\)

Take the square root of both sides. Since \(c\) is the hypotenuse (length > 0),
$$c=\sqrt{100}$$
$$c = 10$$

Answer:

\(10\)