1.

In a triangle ABC the length of side BC is295 cm. If the length of side AB is a perfectsquare, then the length of side AC is a powerof 2, and the length of side AC is twice thelength of side AB. Determine the perimeter(in cm) of the triangle.[IIFT - 2010](1) 343(2) 487(3) 1063(4) None of these​

Answer»

1063 cm is the perimeter of the triangle.

Step-by-step explanation:

Let,

LENGTH of side AB = 2^{k - 1}

so,

Length of side AC = 2^{k}   (∵length of side AC is POWER of 2 and TWICE the  length of side AB)

Given that,

BC = 295 cm

Now,

The power of 2 that would fulfill these condition would be;

256 and 512,

AB = 256  (2^8(9 -1))

AC = 256 * 2 = 512     (256 is 2^9)

∵ The perimeter of the triangle = SUM of all sides

= 256 + 295 + 512

= 1063 cm

Thus, 1063 cm is the perimeter of the triangle.

Learn more: Perimeter of the Triangle

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