A ramp is built in the shape of a right triangle. The hypotenuse of the ramp is 17 feet and the length of one leg is 8 ft.
What is the length of the other leg?
13 ft
12 ft
14 ft
16 ft
15 ft
i'm here for the answer not for a way to solve the problem... keep up bro :p
x^2 + 8^2 = 17^2
Solve for x.
To find the length of the other leg of the right triangle, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, we are given that the hypotenuse (c) is 17 feet, and one leg (a) is 8 feet. Let's call the length of the other leg b.
Using the Pythagorean theorem, we can write the equation as:
a^2 + b^2 = c^2
Substituting the known values, we have:
8^2 + b^2 = 17^2
Simplifying, we get:
64 + b^2 = 289
To isolate b^2, we subtract 64 from both sides:
b^2 = 289 - 64
b^2 = 225
Taking the square root of both sides, we find:
b = √225
b = 15
Therefore, the length of the other leg of the right triangle is 15 feet.
So, the correct answer is 15 ft.
you would do well to memorize a few of the basic Pythagorean triples, so you can easily recognize them and their multiples
3-4-5
5-12-13
8-15-17
7-24-25
and so on