Question

A right triangle has a leg of 6 and a hypotenuse of 19. What is the other leg

Answer 1

Answer:

5$\sqrt{13}$ or 18.03

Step-by-step explanation:

Let's call the unknown leg x

Using the Pythagoras rule

19^2 = 6^2 + x^2

361 = 36 + x^2

subtract 36 from both sides

361 - 36 = x^2

325 = x^2

Take the square root of both sides

$\sqrt{325}$ = $\sqrt{x^2}$

$\sqrt{25*13}$ = x

x = 5$\sqrt{13}$  = 18.03