The measure of side c is 105 inches and the measure of side a is 80 inches. What is the length of side b?

1 answer

To find the length of side b, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (side c) is equal to the sum of the squares of the other two sides (a and b).

So, using the formula:

c^2 = a^2 + b^2

Where:
c = 105 inches
a = 80 inches
b = length of side b

Substitute the given values:

105^2 = 80^2 + b^2
11025 = 6400 + b^2

Subtract 6400 from both sides:

11025 - 6400 = b^2
4625 = b^2

Take the square root of both sides to solve for b:

b = √4625
b = 68.03

Therefore, the length of side b is approximately 68 inches.