Answer:
1. [tex]\sqrt{74}[/tex] ft 2. [tex]50\sqrt{2}[/tex] yards 3. [tex]5\sqrt{35}[/tex] units.
Step-by-step explanation:
Pythagorean's Theorem [tex]a^2 + b^2 = c^2[/tex]
A and b are both side lengths, c is the hypotenuse.
7^2 + 5^2 = 74
sqrt(74) is the answer for 1.
30^2 - 5^2 = 875
Simplify the radical. sqrt(875) --> 5sqrt(35). The answer for three.
There's a rule in geometry that says a diagonal of a square is the same length as taking a side length times the square root of two. There's your answer for two.
