Question

Please help!

Answer 1

Answer:

1. $\sqrt{74}$ ft    2. $50\sqrt{2}$ yards     3. $5\sqrt{35}$ units.

Step-by-step explanation:

Pythagorean's Theorem $a^2 + b^2 = c^2$

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.