Mathematics

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.
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

1 Answer

  • Answer:

    • See below

    Step-by-step 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
NEWS TODAY