Question

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

Answer 1

Answer:

x = 12

Step-by-step explanation:

c² = a² + b²

13² = 5² + b²

169 = 25 + b²

b² = 169 - 25

b² = 144

b = 12

Answer 2

Answer:

x=12

Step-by-step explanation:

This is a right triangle, so the Pythagorean theorem can be used. The Pythagorean theorem states that $C^2=a^2+b^2$ 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, $b=\sqrt{13^2-5^2}$. Next, solve what is under the root to get, $b=\sqrt{144}$. Finally, square root 144 for the final answer b=12.