Question

The lengths of two sides of a right triangle are given.Find the length of the third side. Round to the nearest tenth if necessary. leg:34 hypotenuse :37
A. 50.2
B.8.9
C.19.9
D.14.6​

Answer 1

Answer:

14.6

Explanation:

You need the equation $a^{2} +b^{2} = c^{2}$

both legs can be "a" or "b" the hypotenuse is "c"

insert what you know in this equation then solve for the unknown.

$34^{2} +b^{2} = 37^{2} \\1156+b^{2} = 1369\\b^{2}=213$

now to cancel out the square you take the square root of both sides giving you: 14.6