Answer:
b = 1.7
c = 7.1
Step-by-step explanation:
the triangle with side 'b' is a 30-60-90° Δ where the ratio of sides, respectively, are 1 : [tex]\sqrt{3}[/tex] : 2
to find 'b' we could set up this proportion:
b/3 = 1/[tex]\sqrt{3}[/tex]
cross-multiply:
b[tex]\sqrt{3}[/tex] = 3
b = 3 / [tex]\sqrt{3}[/tex]
if we rationalize the denominator, this becomes (3[tex]\sqrt{3}[/tex])/3 which is [tex]\sqrt{3}[/tex] or 1.7
the other triangle is a 45-45-90°Δ where the ratio of the sides are 1 : 1 : [tex]\sqrt{2}[/tex]
if the legs are 5 then the hypotenuse is 5[tex]\sqrt{2}[/tex] or 7.1
