Answer:
b = 5√3 (units)
Step-by-step explanation:
To solve this problem, use the pythagorean theorem, where a^2+b^2 = c^2, a and b are the legs of the triangle and c is the hypotenuse.
In this case, we are finding the missing leg, and we were given one of the legs and the hypotenuse.
a^2+b^2 = c^2 (pythagorean therorm)
5^2+b^2 = 10^2 (substitute one leg and the hypotenuse)
25+b^2 = 100 (square the numbers)
b^2 = 75 (subtract 25 from both sides)
b = √75
b = √25 * √3 (factor out√75)
b = 5 * √3 (find square root of√25)
b = 5√3
Hope I was able to help! Good Luck!
