Answer:
a = 4.949
b = 4.949
c = 7
Step-by-step explanation:
c ( hypothenuse ) = 7
to find a, use sine
Sine = [tex]\frac{opposite}{hypothenuse\\}[/tex]
Sine 45 = [tex]\frac{a}{7}[/tex]
sine of 45 is 0.707
0.707 = [tex]\frac{a}{7}[/tex]
multiplt 7 on both sides:
0.707 x 7 = [tex]\frac{a}{7}[/tex] x 7
a = 4.949
to find b, use cosine
Cosine = [tex]\frac{adjacent}{hypothenuse}[/tex]
Cos 45 = [tex]\frac{b}{7}[/tex]
cos of 45 is 0.707
0.707 = [tex]\frac{b}{7}[/tex]
multiply 7 on both sides:
0.707 x 7 = [tex]\frac{b}{7}[/tex] x 7
b = 4.949
