Question

Please help!

1.Rob built a sandbox in the shape of a right triangle. If one leg is 5 feet and the other leg is 7 feet, how long is the hypotenuse of the sandbox?
2.A diagonal path divides a square park in half. If the park is 50 yards on each side, how long is the path?
3.A right triangle has one leg with a length of 5 units. The hypotenuse is 30 units long. What is the length of the other leg?

Answer 1

74

Explanation:

srry i only know #1

Answer 2

1.
`√(74)` ft 2.
`50√(2)` yards 3.
`5√(35)` units.

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.