A movie screen is 15 meters by 8 meters. What is the length of the diagonal of the movie screen? *
120 m2
26.5 m
17 m
70 m

Respuesta :

17,

Diagonal= sqrt w^2+l^2
Answer: 
17 m

Explanation: 
Use the pythagorean theorem to find the length of the hypotenuse: 
Pythagorean theorem: 
[tex] a^{2} + b^{2} = c^{2} [/tex] 
a = 15 and b = 8 
[tex] 15^{2} + 8^{2} = c^{2} [/tex] 
Solve for c: 
[tex] 15^{2} + 8^{2} = c^{2} [/tex]
225 + 65 = [tex] c^{2} [/tex] 
289 = [tex] c^{2} [/tex]
[tex] \sqrt{289} [/tex] = c 
17 = c