Question

Find the length of the third side. If necessary, write in simplest radical form. one side is 7, the other is 2√6, the third side had a 90 degree mark but what is the length

Answer 1

5

Explanation:

Pythagoras

c² = a² + b²

with c being the Hypotenuse (= the side opposite of the 90 degree angle).

if I understand the question correctly, then the Hypotenuse c is here 7.

=>

7² = (2×sqrt(6))² + b²

49 = (4×6) + b²

49 = 24 + b²

25 = b²

b = 5