Question

In an isosceles right triangle, the length of the hypotenuse is 8 units. Which measurement is NOT associated with the triangle? * A. 4√2 units B. 8√2 units C. 45° D. 90°

Answer 1

B. 8sqrt(2)

Explanation:

The legs of an isosceles right triangle are congruent and measure 45 deg. The right angle measures 90 deg. The ratio of the lengths of the sides of a 45-45-90 deg triangle is 1 : 1 : sqrt(2).

Since the hypotenuse measures 8, then the legs measure 8/sqrt(2)

8/sqrt(2) * sqrt(2)/sqrt(2) = 8sqrt(2)/2 = 4sqrt(2)

Answer: B. 8sqrt(2)