Find side c if side a = 10 inches and side b = 6 inches.
To find side c, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (side c) is equal to the sum of the squares of the lengths of the other two sides.
The Pythagorean theorem can be written as:
c^2 = a^2 + b^2
Given that side a = 10 inches and side b = 6 inches, we can substitute the values into the equation:
c^2 = 10^2 + 6^2
Simplifying the equation:
c^2 = 100 + 36
c^2 = 136
To solve for c, we can take the square root of both sides of the equation:
√(c^2) = √136
c ≈ √136
Using a calculator or an approximation, we find that c is approximately 11.66 inches. Therefore, side c is approximately 11.66 inches.
Are you talking about a right triangle?
If so, use the Pythagorean Theorem.