Answer: 13, 3.43
Explanation:
Pythagorean theorem is:
c²=a²+b²
c is always the hypotenuse, the side that is longest or the side opposite of the right angle
a and b are the other 2 sides (for this it doesn't matter which is which
1. c=x a=12 b=5
x²=12²+5² 12² means (12)(12)=144 (12, 2 times)
x²=144+25 simplify by adding the numbers
x²=169 to solve for x take the √ of both sides
√x²=√169
x=13
2. c=10.1 b=9.5 a=x
10.1²=9.5²+x²
102.01=90.25 +x² subtract 90.25 from both sides
11.76=x² take square root of both sides to solve for x
√x²=√11.76
x=3.43