Answer:
x = 20.7
Step-by-step explanation:
1) Use the Pythagorean Theorem: [tex]a^{2} +b^{2} =c^{2}[/tex]
- C is always the hypotenuse of the triangle (The longest side in a right triangle)
2) Plug in 17.5 for A and 11 for B to make [tex]17.5^{2} +11^{2} =x^{2}[/tex]
3) You should end up with [tex]306.25 +121 =x^{2}[/tex]
4) Add the two numbers to get [tex]427.25=x^{2}[/tex]
5) Take the square root of both sides of the equation: [tex]\sqrt{427.25} =\sqrt{ x^{2} }[/tex]
6) You will end up with a number with many decimals, but if rounding to the nearest tenth (one decimal place), you will find that [tex]20.7=x[/tex]
