there are three matchsticks and we have to make three equilateral triangle how can we make can anyone tell me
Answers
Answer:
Cleave each matchsticks into three equal parts and then u can make the equilateral triangles.
Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with: (a) 3matchsticks? (b) 4matchsticks? (c) 5matchsticks? (d) 6matchsticks? (Remember you have to use all the available matchsticks in eachcase). If you cannot make a triangle, think of reasons forit.
(a) 3 matchsticks
1st side=1 matchsticks
2nd side = 1 matchsticks
3rd side=1 matchsticks.
Hence, it forms an equilateral triangle.
(b) 4 matchsticks
1st side=1 matchsticks
2nd side = 1 matchsticks
3rd side=2 matchsticks.
If we make triangle with 4 matchsticks, then it should obey the rule, where the sum of two sides of a triangle is greater than the third side. But this rule is not applicable here since if we add 1 + 1 (matchsticks), it is equal to 2, which is the length of the third side of the triangle. Hence, we can make a triangle with 4 matchsticks.
(c) 5 matchsticks
1st side=2 matchsticks
2nd side = 2 matchsticks
3rd side=1 matchsticks.
Hence, it forms an isosceles triangle.
(d) 6matchsticks
1st side=2 matchsticks
2nd side = 2 matchsticks
3rd side=2 matchsticks.
Hence, it forms an equilateral triangle.
this all help u