Answer
The hypotenuse side = 17 inches
Step-by-step explanation
In a right angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.
The Pythagorean Theorem is used for right angled triangle, that is, triangles that have one of their angles equal to 90 degrees.
The side of the triangle that is directly opposite the right angle or 90 degrees is called the hypotenuse. It is normally the longest side of the right angle triangle.
The Pythagoras theorem thus states that the sum of the squares of each of the respective other sides of a right angled triangle is equal to the square of the hypotenuse. In mathematical terms, if the two other sides are a and b respectively,
a² + b² = (hyp)²
For this question, the two other sides given are 8 inches and 15 inches respectively.
a = 8 inches
b = 15 inches
Hyp = ?
8² + 15² = (hyp)²
64 + 225 = (Hyp)²
289 = (Hyp)²
(Hyp)² = 289
Find the square root of both sides
Hyp = √289 = 17 inches
Hope this Helps!!!