Question

A right triangle has a hypotenuse of length $10\sqrt{2}$ and an angle of $45$ degrees, with a side opposite this angle with a length of $10$. A second right triangle also has an angle of $45$ degrees, with a side opposite this angle with a length of $14$. Determine the length of the hypotenuse in the second triangle.AnswersThe hypotenuse of the second triangle has length $7\sqrt{2}$.The hypotenuse of the second triangle has length $7$.The hypotenuse of the second triangle has length $14$.The hypotenuse of the second triangle is $14\sqrt{2}$.

Answer 1

In a right triangle with a 45° angle the triangle is 45-45-90, so the hypotenuse = leg·√2. With leg = 14, the hypotenuse = 14√2.

Answer: 14√2.