Question

The sides of a right angled triangle are in AP Show that they are in the ratio 3:4:5:​

Answer 1

Step-by-step explanation:

the sides of the triangle be x, y, z

with z> x & y.

since the sides are in AP

y = x+d

z = x+2d where d is the common difference

By Pythagoras theorem

simplifying we get

solving we get

x:y:z = 3: 4: 5

Answer 2

1. ratio is 3:4:5
2. sum of ratio =3+4+5=12
3. (i)angel =3÷12×180=45°

(ii)angel =4÷12×180=60°

(iii)angel =5÷12×180=75°