Question

if the sides of triangle are in a.p,the perimeter is 30cm the difference between the longer and shorter side is 4cm then find all sides of triangle

Answer 1

HOLA MATE HERE IS UR ANSWER ♥♥♥

The three sides are a,(a+d),(a+2d)a,(a+d),(a+2d), the area of right angled triangle is 24. Hence

12a(a+d)=2412a(a+d)=24

a(a+d)=48a(a+d)=48 - product of two sides = 48

All possibilities - x,yx,y

1,481,48 —a=1,d=47a=1,d=47

2,242,24 — a=2,d=22a=2,d=22 (third side z=46)z=46)

3,163,16 —a=3,d=13a=3,d=13 (third side = z=29)z=29)

4,124,12 — a=4,d=8a=4,d=8 (third side = z=20)z=20)

6,86,8 — a=6,d=2a=6,d=2 (third side = z=10)z=10)

But for right angles triangle, you want -

x2+y2=z2x2+y2=z2

Only (6,8,10)(6,8,10), satisfy this. So these are the sides of your triangle, smallest side being 66.

HOPE. IT. HELPS U ♥♥♥