√216 meters
Step-by-step explanation:
» Concepts
The Pythagorean theorem states that in a right triangle, the sum of the squares of the legs is equal to the length of the hypotenuse squared. It's represented as an equation of a² + b² = c², where a & b are the legs, and c is the hypotenuse
» Application
To find the length of the other leg, we have to plug in the values of b and c into the equation. B would be 15 meters, and c would 21 meters.
» Solution
Step 1: Simplify both sides of the equation.
- [tex]a^2+15^2+21^2[/tex]
- [tex]a^2+225=441[/tex]
Step 2: Subtract 225 from both sides.
- [tex]a^2+225-225=441-225[/tex]
- [tex]a^2=216[/tex]
Step 3: Take square root of both sides.
- [tex]\sqrt{a^2} = \sqrt{216}[/tex]
- [tex]a = \sqrt{216}[/tex]
Therefore, the length of the other leg is √216 meters.