The sides of a triangle are 2x + 3, 3x - 1 and x + 7. Its perimeter is equal to:
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Answer:
3 x 7 = 21 cm
Step-by-step explanation:
As all the sides of an equilateral triangle are equal, 2x−3y+1=x+y−1 and x+y−1=3x−y−9. Hence
x−4y=−2,........(1)
2x−2y=8...........(2)
Multiplying (2) by 2 and subtracting (1) from it, we get 3x=18. Hence x=6.
Finally 2y=2x−8=2(6)−8=12−8=4. Hence y=2.
Thus the side of the triangle is x+y−1=6+2−1=7cm. Its perimeter is 3×7=21 cm.
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