Find the value of x in the triangle shown below.
13
5
х

Answer:
x=12
Step-by-step explanation:
This is a right triangle, so the Pythagorean theorem can be used. The Pythagorean theorem states that [tex]C^2=a^2+b^2[/tex] where C is the hypotenuse and a and b are legs. In this question, we are given a and C. So, plugin 13 for C and 5 for a and solve for b. Once you rearrange the equation you get, [tex]b=\sqrt{13^2-5^2}[/tex]. Next, solve what is under the root to get, [tex]b=\sqrt{144}[/tex]. Finally, square root 144 for the final answer b=12.
Answer:
x = 12
Step-by-step explanation:
c² = a² + b²
13² = 5² + b²
169 = 25 + b²
b² = 169 - 25
b² = 144
b = 12