Question

if the two legs in the following 45° - 45° - 90° triangle have length 19 inches, how long is the hypotenuse? round your answer to two decimal places. the hypotenuse is approximately inches. etextbook and media

Explanation:

Step1: Identify the leg - length value

Given that $x = 19$ inches.

Step2: Use the hypotenuse - leg relationship

The hypotenuse of a 45 - 45 - 90 triangle is $\sqrt{2}x$. Substitute $x = 19$ into the formula: $h=\sqrt{2}\times19$.

Step3: Calculate the value

$h = 19\sqrt{2}\approx19\times1.414213562 = 26.87$.

Answer:

$26.87$