Question

In a video game, Shar has to build a pen shaped like a right triangle for her animals. If she needs 5 feet of fence for the shortest side and 13 feet of fence for the longest side, how many feet of fencing is needed for the entire animal pen? 12 feet 14 feet 30 feet 32 feet

Answer 1

Answer:Therefore, Shar needs 30 feet of fencing for the entire animal pen. So the answer is 30 feet.

Explanation:

To find the length of the third side, we can use the Pythagorean theorem, which states that for a right triangle with legs a and b, and hypotenuse c:

a^2 + b^2 = c^2

In this case, the shortest side is 5 feet and the longest side is 13 feet, so we can set up the equation:

5^2 + b^2 = 13^2

Simplifying:

25 + b^2 = 169

b^2 = 144

b = 12

So the length of the third side is 12 feet. To find the total length of fencing needed, we add up the lengths of all three sides:

5 + 12 + 13 = 30

Therefore, Shar needs 30 feet of fencing for the entire animal pen. So the answer is 30 feet.

Answer 2

32 feet

Explanation:

To do this, we can use the Pythagorean theorem, which states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In other words:

a^2 + b^2 = c^2

where a and b are the lengths of the two shorter sides and c is the length of the hypotenuse.

Plugging in the given values, we get:

5^2 + 13^2 = c^2

25 + 169 = c^2

194 = c^2

c = sqrt(194)

Using a calculator, we can approximate c to be about 13.93 feet.

Therefore, the total amount of fencing needed for the entire animal pen is:

5 + 13 + 13.93

31.93 feet