Answer:
Step-by-step explanation:
The ratio of sides of triangle: 45-45-90 is 1 : 1 :√2
Set that represents 45-45-90 are
c) 5, 5 ,5√2 = 5 : 5 : 5√2 = 1 : 1: √2
[tex]e) \dfrac{3\sqrt{2}}{2}: \dfrac{3\sqrt{2}}{2}:3 \\\\\\multiply by \dfrac{2}{3\sqrt{2}}\\\\\\= \dfrac{3\sqrt{2}}{2}*\dfrac{2}{3\sqrt{2}} : \dfrac{3\sqrt{2}}{2}*\dfrac{2}{3\sqrt{2}} : 3*\dfrac{2}{3\sqrt{2}}\\\\\\=1 : 1 :\dfrac{2}{\sqrt{2}}\\\\\\= 1: 1:\dfrac{\sqrt{2}*\sqrt{2}}{\sqrt{2}}\\\\\\= 1:1:\sqrt{2}[/tex]
[tex]h)\dfrac{3}{4}:\dfrac{3}{4}:\dfrac{3\sqrt{2}}{4}=1:1:\sqrt{2}[/tex]
Ratio of sides of 30-60-90 triangles are:
1:√3:2
Set that represents 30-60-90 are
a) 3 : 3√3 : 6
Divide by 3
= 1 : √3: 2
[tex]f) \dfrac{2}{3};\dfrac{2\sqrt{3}}{3}:\dfrac{4}{3} \\\\\\Multiply \ by \ \dfrac{3}{2}\\\\= \dfrac{2}{3}*\dfrac{3}{2} :\dfrac{2\sqrt{3}}{3}*\dfrac{3}{2} :\dfrac{4}{3}*\dfrac{3}{2}\\\\\\= 1 : \sqrt{3} : 2[/tex]
g) 6 , 12 , 6√3
6 : 6√3 : 12
Divide by 6
= 1 : √3 : 2
