(a) 3 matchsticks? (b) 4 matchsticks? (c) 5 matchsticks? (d) 6 matchsticks? (Remember you have to use all the available matchsticks in each case) Name the type of triangle in each case. If you cannot make a triangle
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Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with (a) 3 matchsticks? (b) 4 matchsticks? (c) 5 matchsticks? (d) 6 matchsticks? (Remember you have to use all the available matchsticks in each case) Name the type of triangle in each case. If you cannot make a triangle
We have to find the type of triangle that can be made(if possible).
Solution:
(a) Yes, we can make an equilateral triangle with 3 match sticks.
(b) No, we cannot make a triangle with 4 match sticks because the sum of the lengths of any two sides of a triangle is always greater than the length of the third side. (c) Yes, we can make an isosceles triangle with 5 match sticks.
(d) Yes, we can make an equilateral triangle with 6 match sticks.