Respuesta :

Answer: c = 13.96 or [tex]\sqrt{194.6}[/tex]

Step-by-step explanation:

[tex]a^{2}+b^{2}=c^{2}[/tex]

a and b = side lengths

c = hypotenuse

[tex]8.6^{2}+11^{2}=c^{2}[/tex]

[tex]73.96 + 121=c^{2}[/tex]

[tex]194.96=c^{2}[/tex]

[tex]\sqrt{194.6} =c[/tex]

[tex]c = 13.9628 = 13.96[/tex]

clarch19

Answer:

YZ = 13.96

m∡Z = 52°

m∡Y = 38°

Step-by-step explanation:

found YZ first by using Pythagorean Theorem:

11² + 8.6² = YZ²

YZ² = 194.56

YZ = √194.56

YZ = 13.96

Used Law of Sines to find m∡Z:

sin 90°/13.96 = sin Z/11

sin Z = 11/13.96

arcsin Z = 52°

180 - (90 + 52) = m∡Y

m∡Y = 38°

Otras preguntas