Answer: Part A. a student must find the missing length by using the Pythagorean theorem.
The answer should come out to be x=2√26 or x=−2√26 (Decimal: 10.19803902…, -10.19803902…) or (Rounded to the nearest tenth: 10.20, -10.20)
Explanation:
Let's make x the missing length. The Pythagorean theorem says the way to set up this equation is the leg^2 + leg^2 = hypotnues^2.
Set up the problem and solve, I'll show you how to do it: x²+11²2=15²
Step 1: Simplify both sides of the equation.
x² + 121=225
Step 2: Subtract 121 from both sides.
x² + 121−121=225−121
x² = 104
Step 3: Take square root.
x = ± √104
The answer should come out to be x = 2√26 or x = −2√26 (Decimal: 10.19803902…, -10.19803902…) or (Rounded to the nearest tenth: 10.20, -10.20)