Question

Sum of the sides of a triangle is 24.
Area is also 24
Sides are in AP as well.
Find the sides and also a height of the triangle.​

Answer 1

Answer:

.5bh=24

bh=48

the 3 sides are in ap

we can take the 3 sides f-d, f, f+d

sum of sides=24

3f=24

f=8

1st side=8

also a height is

h=48/8=6

Answer 2

$5bh = 24 \\ \\ bh = 48 \\ \\ the \: three \: side \: are \: in \: ap \\ \\ we \: can \: take \: the \: three \: sides \: f - d ,\: f, \: f + d \\ \\ sum \: of \: sides = 24 \\ \\ 3f = 24 \\ f = 8 \\ ist \: side \: = 8 \\ \\ also \: a \: height \: is \\ \\ h = \frac{48}{8} = 6$