In a triangle ABC the length of side BC is
295 cm. If the length of side AB is a perfect
square, then the length of side AC is a power
of 2, and the length of side AC is twice the
length of side AB. Determine the perimeter
(in cm) of the triangle.
[IIFT - 2010]
(1) 343
(2) 487
(3) 1063
(4) None of these
Answers
Answered by
1
1063 cm is the perimeter of the triangle.
Step-by-step explanation:
Let,
Length of side AB =
so,
Length of side AC = (∵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
brainly.in/question/36704084
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