Answer:
Step-by-step explanation:
So in this case you need to use the Pythagorean Theorem which states that: [tex]a^2+b^2=c^2[/tex] where c is the value of the hypotenuse, and a and b are the other two sides (the order in which you put them doesn't matter). So in this case I'll say a=8.4 (I could've also input it as b, doesn't matter) and c=10.5 (here it does matter, c is hypotenuse, it's not the other sides...)
So given this information we have the equation:
[tex](8.4 cm)^2 + b^2 = (10.5 cm)^2\\[/tex]
Square known values:
[tex]70.56 cm^2 + b^2 = 110.25 cm^2[/tex]
subtract 70.56 cm^2 from both sides
[tex]b^2 =39.69 cm^2[/tex]
Take the square root of both sides
[tex]b=6.3 cm[/tex]
x=6.3 cm
Problem 3: a = 9 cm, c=20 cm
Input known values
[tex](9 cm)^2 + b^2 = (20 cm)^2[/tex]
Square known values
[tex]81 cm^2 + b^2 = 400 cm^2[/tex]
Subtract 81 cm^2 from both sides
[tex]b^2 = 319cm^2[/tex]
take the square root of both sides
[tex]b\approx 17.86 cm[/tex]
so the side x is approximately 17.86 cm
