Question

the sides of a triangle taken in order are 3 cm longer the preceding side is the perimeter of the triangle is 81 cm find the length of its sides

Answer 1

HEY MATE HERE IS UR ANSWER

GIVEN THAT THE SIDES OF TRIANGLE ARE IN ORDER OF 3 CM INCREASING



SOLUTION --

LET THE FIRST SIDE = X

THEREFORE SECOND SIDE = X + 3

AND THIRD SIDE = X + 6

AND ITS GIVEN THAT PERIMETER OF TRIANGLE = 81 CM ( SIDE 1 + SIDE 2 + SIDE 3 )

THERE FOR WE HAVE

SIDE 1 + SIDE 2+ SIDE 3 = PERIMETER = 81 CM

THAT IS

$(x) + (x + 3) + (x + 6) \: = 81cm$

THAT IS

$x + x + 3 + x + 6 = 81cm$

THIS IS EQUAL TO

$3x + 9 = 81cm$

$3x = 81 - 9$

$3x = 72cm$
SO

$x = \frac{72}{3} \: = 24cm$

THEREFORE

LENGTH OF FIRST SIDE IS = X = 24cm

LENGTH OF SECOND SIDE IS = X+3 = 24+3 = 27cm

NOW LENGTH OF THIRD SIDE = X + 6 = 24 + 6 = 30cm


THEREFORE THE LENGTH OF SIDES ARE

24 CM , 27 CM AND 30 CM

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