Determine the length of the legs in the right triangle below.

Answer:
x = 14
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + x² = (14[tex]\sqrt{2}[/tex] )²
2x² = 392 ( divide both sides by 2 )
x² = 196 ( take the square root of both sides )
x = [tex]\sqrt{196}[/tex] = 14
Thus the congruent legs are 14 cm