Question

click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. release your mouse button when the item is place. if you change your mind, drag the item to the trashcan. click the trashcan to clear all your answers.
the triangle shown is a right triangle. create the equation to be used to find the missing lengths. (enter the smaller leg of the triangle first.) do not solve the equation.

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\). Here, \(a = 4\), \(b=7\), and \(c=x\).

Step2: Substitute values into the formula

Substitute the values of the legs and hypotenuse into the Pythagorean theorem. We get \(4^{2}+7^{2}=x^{2}\).

Answer:

\(4^{2}+7^{2}=x^{2}\)