Answer:
x = 9
Explanation:
→You can use the Pythagorean Theorem to solve:
![a^2+b^2=c^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/96dopf217hvzc3zhswffnjr8l5f26vmjhb.png)
→The "a," and "b," are the legs, and the "c," is the hypotenuse. In this case, we are already given the hypotenuse as 41, and we are trying to find a leg:
![40^2+b^2=41^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/o793dx01zfs2x1t7p8v9738uur5wy9ycyz.png)
![1600+b^2 = 1681](https://img.qammunity.org/2021/formulas/mathematics/middle-school/t2ov3q0zr4jkfzgzb22rr1i9v8uwg7ywqg.png)
→Subtract 1600 from both sides:
![b^2=81](https://img.qammunity.org/2021/formulas/mathematics/middle-school/w0bbe5v4x4xah5r73mzfw7lm7dhx34nl37.png)
→To get "b," by itself, square root both sides, like so:
![√(b^2) =√(81)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/hft7fq0rxqjucm1r5ekqlami7jzdln671k.png)
→81 is a perfect square meaning it has two factors that are identical.
![b = 9](https://img.qammunity.org/2021/formulas/mathematics/middle-school/pkb6alk5q3ceomb2u4yxg220q8qw050x4s.png)