Question

two sides of a triangle measures (3x-2)cm and (2x+5)cm and its perimeter is(9x-4)cm

Answer 1

Question:

two sides of a triangle measures (3x-2)cm and (2x+5)cm and its perimeter is(9x-4)cm.

Answer:

First side : ( 3x - 2 )

Second side : ( 2x + 5 )

Perimeter : ( 9x - 4 )

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✔Perimeter of traingle = Sum of all sides

▸▸ ( 9x - 4 ) = ( 2x + 5 ) + ( 3x - 2 ) + x

▸▸ ( 9x - 4 ) = 5x + 3 + x

▸▸ 9x - 4 - 5x - 3 = x

▸▸ 4x - 7 = x

▸▸ x = 7/3

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✔Perimeter of traingle = Sum of all sides

(3x-2)cm = 5cm

(2x+5)cm = 29/15

(9x-4)cm = 19 cm

• For third side :-

19 = 5 + x + 29/15

14 - 29/15 = x

x = 12

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➻ Perimeter : 19cm

➻ First side : 5cm

➻ Second side : 12cm

➻ Third side : 29/15

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