The length of the side length x = 17 units, for the given right-angled triangle, was found using the Pythagoras Theorem.
What is the Pythagoras Theorem?
In a right-angled triangle, the side opposite to the right angle is called the hypotenuse, and the other two sides are called the two legs (or, base and perpendicular respectively).
According to the Pythagoras theorem, in a right-angled triangle, the square of the hypotenuse is the sum of the squares of the two legs. This can be written as:
Hypotenuse² = Base² + Perpendicular².
How to solve the given question?
In the question, we are given a right-angled triangle with lengths of the legs as 8 and 15 units respectively, and the length of the hypotenuse is x units.
We are asked to find the value of the x.
To find the value of x, we will use the Pythagoras Theorem, by which,
Hypotenuse² = Base² + Perpendicular².
or, x² = 8² + 15²
or, x² = 64 + 225
or, x² = 289 = 17²
or, x = 17.
∴ The length of the side length x = 17 units, for the given right-angled triangle, was found using the Pythagoras Theorem.
Learn more about the Pythagoras Theorem at
https://brainly.com/question/231802
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