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.
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