Answer:
Explanation:
Since this is a right triangle, we can use the Pythagorean Theorem.
In this theorem, a and b are the legs and c is the hypotenuse.
We are given one leg that is 6 inches and the hypotenuse is 13 inches. We don't know the other leg. Substitute the known values into the formula.
Solve the exponents.
- ( 6 in)²= 6 in* 6 in= 36 in²
- (13 in)²= 13 in*13 in= 169 in²
Now, solve for b (the unknown side) by isolating the variable. 36 square inches is being added. The inverse of addition is subtraction, so we subtract 36 from both sides.
b is being squared. The inverse of a square is the square root. Take the square root of both sides.
Let's round to the nearest hundredth. The 2 (11.5325625947) in the thousandth place tells us to leave the 3.
The length of the other leg is approximately 11.53 inches.