Question - Solving for Hypotenuse of a Right Triangle using Pythagorean Theorem

Solution:

The triangle in the image appears to be a right triangle, with sides of length 8 and 13, and we are asked to solve for the hypotenuse x. You can use the Pythagorean theorem to solve for x, which is:a^2 + b^2 = c^2where a and b are the lengths of the legs of the right triangle, and c is the length of the hypotenuse.For this triangle, we will have:8^2 + 13^2 = x^2Now, calculating the squares:64 + 169 = x^2233 = x^2Now, take the square root of both sides:√233 = xx ≈ 15.3So, to the nearest tenth, x is approximately 15.3.

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