Question

in a right angle triangle abc, ab= ac then a: b: c is​

Answer 1

Answer:

Step-by-step explanation:

let AC = x

then BC = 2–√x

as AD and DB will be in ratio of AC and BC by angle bisector theorem

so let AD = y and  so DB = 2–√y

but AD + DB = AB  = AC

so y+2–√y = x

    y(2–√ + 1) = x

  so y = x2–√+1

   on rationalising the denominator it results in

     y = (2–√ - 1) x

add x on both sides

     y + x=  (2–√ - 1) x + x

     AD + AC = (2–√ - 1 + 1)  x

     AD + AC = (2–√)  x

    so AC + AD = BC

Answer 2

Since, ab=ac
Therefore angle a = angle c = 45 degree
Angle b = 90
a:b:c = 45:90:45 = 1:2:1