The legs of a rectangle of a triangle are 8 and 15. Find the hypotenuse of this triangle.

From the condition it is known that the legs of the rectangle of the triangle are 8 and 15, respectively. And we need to find the length of the hypotenuse of this triangle.
To do this, we will apply the Pythagorean theorem. Let’s remember how it sounds. The square of the hypotenuse is equal to the sum of the squares of the legs.
We write it in the form of a formula:
c ^ 2 = a ^ 2 + b ^ 2,
where c is the hypotenuse of the triangle, and a and b are the legs.
Substitute the values into the formula and calculate:
c = √ (a ^ 2 + b ^ 2) = √ (8 ^ 2 + 15 ^ 2) = √ (64 + 225) = √289 = 17 is the length of the hypotenuse.
Answer: The hypotenuse is 17.