An equilateral triangle has a perimeter of 100 cm. How will the perimeter change if one of its angles is made 178°, keeping the area constant? a)4 times 4 b)10 times 10 c)20 times 20 d)Near to infinite
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d) near to infinity
178° is approximately a straight line & area of a straight line will very small no. which is near to infinity.
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The perimeter, if one of its angles is made 178°, keeping the area constant will become near to infinite.
- The angle of 178° is very close to 180°. An angle that is 180° will make a straight line.
- This means that one of the sides has an angle of 178° with the base and it keeps extending until the third side meets.
- This extension must keep taking place unless the second and the third side don't meet because only then a triangle will be formed.
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