Respuesta :

Answer:

17

Step-by-step explanation:

The Pythagorean Theorem: a^2 + b^2 = c^2

Then we plug in 8 and 15 for a and b.

8^2 + 15^2 = c^2

64 + 225 = c^2

c^2 = 289

Radical c^2 to get c by itself, and you have to square root the other side as well, and your answer is 17

anuksha0456

The length of the hypotenuse of a right triangle whose legs are 8 and 15 units in length computed using the Pythagoras Theorem is 17 units in length.

What is the Pythagoras Theorem?

The Pythagoras theorem states that the sum of the squares on a right triangle's legs equals the square on the hypotenuse (the side opposite the right angle)—or, in common algebraic notation, a² + b² = c², where a and b are the leg lengths and c is the hypotenuse length.

How do we solve the given question?

We are asked to find the length of the hypotenuse of a right triangle whose legs are 8 and 15 units in length.

We will use the Pythagoras Theorem to find the length of the hypotenuse. We are given the values of a and b, the legs of the right triangle,  a = 8 units, b = 15 units. We need to determine the length of the hypotenuse c.

By Pythagoras' Theorem,

c² = a² + b²

or, c² = 8² + 15²

or, c² = 64 + 225

or, c² = 289

or, c = ±√289

or, c = ±17 (∵ √289 = 17)

Since c is the length of the hypotenuse of a triangle, it cannot be negative, so we take c = 17.

∴ The length of the hypotenuse of a right triangle whose legs are 8 and 15 units in length computed using the Pythagoras Theorem is 17 units in length.

Learn more about the Pythagoras Theorem at

https://brainly.com/question/231802

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