Question

The perimeter of a triangel is 90 cm . The longest side exceeds the shortest by 16 cm . The sum of the longest side and shortest side is twice the length of the other side . Find the length of each side

Answer 1

Answer:

Longest Side = 38cm

Medium Side = 30cm

Shortest side = 22cm

Step-by-step explanation:

Let, longest side = x

medium side = y

shortest side = z

So, x + y + z = 90, (1)

z + 16 = x, (2)

:->x - z = 16 (2.1)

x + z = 2y (3)

Now taking eq. (3) in eq (1),

so, 2y + y = 90

3y = 90

so, y = medium side = 30cm

Now,

x + z = 2y

So, x + z = 30*2 = 60

Now, comparing (3) and (2.1)

x + z = 60

x - z = 16

So, 2x = 76

So, x = longest side = 38cm

Now, eq. (2)

z + 16 = x = 38

So, z = 38 - 16

So, z = shortest side = 22cm

CROSS CHECK:

x + y + z = 90

38 + 30 + 22 = 90