Give the simplified radical form for each side length requested. Pls answer only if you can explain and if your sure it’s the right answer. I need help in under
Mathematics
nadineclerici
Question
Give the simplified radical form for each side length requested.
Pls answer only if you can explain and if your sure it’s the right answer.
I need help in understanding how to work it myself so please make sure you explain well.
Pls answer only if you can explain and if your sure it’s the right answer.
I need help in understanding how to work it myself so please make sure you explain well.
1 Answer

1. User Answers mhanifa
Answer:
 See below
Stepbystep explanation:
30×60×90 right triangle has side ratios as:
 s : l : h = 1 : √3 : 2, where s short leg, l  long leg, h  hypotenuse
45×45×90 right triangle has side ratios as:
 l : l : h = 1 : 1 : √2, where l legs, h hypotenuse
If you know one of the sides its easy to find the missing ones.
a) 30×60×90 right triangle
 Given l = 12
 s : 12 : h = 1 : √3 : 2
 CB = s = 12 / √3 = 12√3/3 = 4√3
 AB = h = 2s = 2*4√3 = 8√3
b) 45×45×90 right triangle
 Given l = √22
 BC = l = √22
 AB = l√2 = √22×√2= √44 = 2√11
c) 30×60×90 right triangle
 Given h = 20√6
 s : l : 20√6 = 1 : √3 : 2
 BC = s = h/2 = 20√6/2 = 10√6
 AC = l = s√3 = 10√6×√3 = 10√18 = 10×3√2 = 30√2