Answer: Answer:
Part A: 60
Part B: 3.1
Step-by-step explanation:
Part A:
Solve for the hypotenuse using the hypotenuse thm. to find j.
h = side x square root 2 ⤵️
h = 30 square root 2 x square root 2
= 30 squar root of 4
= 30 x 2
= 60
The hypotenuse is 60.
Part B:
Solve for the missing side, b, by using the equation:
h = side x square root 2
9 = b x square root 2
Divide both sides by the square root of 2
Sense we can’t have a radical, we multiply square root of 2
It becomes:
Square root 2/Square root 2 x 9/Square root 2
= 9 x Square root 2/square root 4
= 9 x Square root 2/2
= 6.363961031 or 6.3