Question

Help 25 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

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

`e) (3√(2))/(2): (3√(2))/(2):3 \\\\\\multiply by (2)/(3√(2))\\\\\\= (3√(2))/(2)*(2)/(3√(2)) : (3√(2))/(2)*(2)/(3√(2)) : 3*(2)/(3√(2))\\\\\\=1 : 1 :(2)/(√(2))\\\\\\= 1: 1:(√(2)*√(2))/(√(2))\\\\\\= 1:1:√(2)`

`h)(3)/(4):(3)/(4):(3√(2))/(4)=1:1:√(2)`

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

`f) (2)/(3);(2√(3))/(3):(4)/(3) \\\\\\Multiply \ by \ (3)/(2)\\\\= (2)/(3)*(3)/(2) :(2√(3))/(3)*(3)/(2) :(4)/(3)*(3)/(2)\\\\\\= 1 : √(3) : 2`

g) 6 , 12 , 6√3

6 : 6√3 : 12

Divide by 6

= 1 : √3 : 2