Question

Find the missing length. Give all answers in the simplest radical form.​

Answer 1

Answer:

x = 2$\sqrt{74}$

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to solve for x

The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

x² = 14² + 10² = 196 + 100 = 296

Take the square root of both sides

x = $\sqrt{296}$ = 2$\sqrt{74}$