The length of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary let's: 28 in and 15 in

To solve this problem you must apply the proccedure shown below:

You must apply the Pythagorean Theorem.

a) Taking 28 inches as the hypotenuse of the right triangle (the largest side), you have:

a^2=b^2+c^2

Where "a" is the hypotenuse, and "b" and "c" are the other sides of the right triangle.

Then, you have:

a=28 inches

b=15 inches

c^2=a^2-b^2

c=√ (a^2-b^2)

c=23.6

Therefore, the answer is: 23.6 inches

a) Taking 28 inches as a one the other sides that are smaller than the hypotenuse, you have:

a=√ (b^2+c^2)

Where "a" is the hypotenuse

a=31.8 inches

The answer is: 31.8 inches

Taking the 28 and 15 to be the lengths of two shorter sides, we can get the hypotenuse using the formula;

a²+b²=c², Where a and b are the base and height of the triangle and c is the hypotenuse.

So, c²=a²+b²

c²=28²+15²

c²=784+225

c²=1009

c=√1009

= 31.8