Answer:
The value of x is 13.7.
Step-by-step explanation:
☆We are going to use the Pythagorean theorem to solve this.
☆Pythagorean Theorem:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
☆Remmeber: a = leg, b = leg, c = hypotenuse or the diagonal.
☆Let's plug in according to the pythagorean theorem and solve!
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {x}^{2} + {9.2}^{2} = {16.5}^{2} \\ {x}^{2} + 84.64 = 272.25 \\ \frac{ \: \: \: \: \: \: \: \: - 84.64 = - 84.64}{ {x}^{2} = \sqrt{187.61} } \\ x = 13.7[/tex]
