Respuesta :

Pythagorean theorem is [tex]a^2+b^2=c^2[/tex], where a and b are the lengths, and c is the hypotenuse. We plug in 102 and 136 in our equation.
[tex]102^2+136^2=c^2[/tex] 102^2+136^2=28900. The square root of 28900 is 170.
170 is the answer

Answer:

x = 170

Step-by-step explanation:

Formula: a² + b² = c²

a = side of right triangle  (known as the leg)

b = side of right triangle  (also known as the leg)

c = hypotenuse

So we will find the C (x).

a² + b² = c²

136² + 102² = c² (evaluate both 136 and 102.)

18,496 + 10,404 = c² (Add)

28,900 = c²

Now all we need to do is find the square root of 28,900.

√28,900 = √C²

170 · 170 = 28,900

So:

170 = C

x = 170