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An isosceles triangle PQR is given below. The length of one of its sides is represented by 'x'. The other two sides are of equal length. The length of the equal sides is two times the length of the side represented by 'x'. Express the perimeter of the triangle in terms of ′x′
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Given:
∆PQR is isosceles triangle where PQ = PR and QR = x.
To find:
We have to find the Perimeter of the triangle in terms of ′x′.
Solution:
The length of the equal sides is two times the length of the side represented by x:
Therefore,
PQ = PR = 2x
So,
Perimeter of the triangle = PQ $+$ PR $+$ QR
Perimeter of the triangle = 2x $+$ 2x $+$ x
Perimeter of the triangle = 5x
So, the perimeter of the triangle in terms of ′x′ is equal to 5x.
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