Wednesday, September 28, 2011

Question 1 by Kevin Tay and Chris Kwek

The lengths of a triangle are 1/2 (X+2) cm, (3X+2) cm, 7/4(7X - 4/7) cm. If the perimeter of the triangle is 47 cm, find the lengths of each side of the triangle.

Ans: 2 3/7 OR 17/7cm, 10 4/7 OR 74/7 cm, and 34.


Workings: 1/2 of (x+2)= (X/2 + 1) cm
7/4 (7X - 4/7) = 49X/4 - 1

(X/2 +1) +3X + 2+ 49X/4 -1 = 47
63X/4 = 47-2
63X/4 = 45
63X = 45 x 4
63X = 180
X = 2 6/7

(X/2 +1) cm = 2 3/7 OR 17/7cm

(3X+2) cm = 10 4/7 OR 74/7 cm

7/4(7X - 4/7) cm = 34 cm


Enjoy!

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