Question

Hypotenuse=32 opposite=54 find the adjascent?

Answer 1

No real value exists

Explanation:

Since the question refers to a hypotenuse here we have an alleged right triangle. So, if such a triangle exists in real 2-space it will satisfy the Pythagorean Theorem.

Let `x in RR` be the adjacent side.

`:. 54^2 + x^2 = 32^2`

`x^2 = (32^2 - 54^2) <0`

Since the square of any real number must be `>=0` implies `x` must be a complex number.

We can conclude that the right triangle as described in this question does not exist.