Question

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

Answer 1

x = 12

Explanation:

c² = a² + b²

13² = 5² + b²

169 = 25 + b²

b² = 169 - 25

b² = 144

b = 12

Answer 2

x=12

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=√(13^2-5^2)`. Next, solve what is under the root to get,
`b=√(144)`. Finally, square root 144 for the final answer b=12.