..21Three rods can not form a triangle if the sum of the lengths of the two shortest rods are less than or equal to the length of maximum-length rod.Therefore the last three rows are not possible.Answer:Only one possible triangle can be formed, with lengths 6,......
8.....12...21.....8+12=20.........21
Three rods can not form a triangle if the sum of the lengths of the two shortest rods are less than or equal to the length of maximum-length rod. Therefore the last three rows are not possible.
Answer:
Only one possible triangle can be formed, with lengths 6, 8 and 12 cm.
2.
6^2 + 8^2 = 36 +64 = 100
However,
12^2 = 144
The Pythagoream theorem does not hold. Therefore,
Answer:
No right triangles.
The two shorter sides must add up to more than the longest side otherwise you won't get a triangle.
6, 8, 12 works because 6+8>12
6, 8, 21 doesn't work because 6+8<21
8, 12, 21 doesn't work because 8+12<21
6, 12, 21 doesn't work because 6+12<21
So the only possible triangle is 6, 8, 12.
The converse of Pythagoras's Theorem says that if the sum of the squares of the two shorter sides equals the square of the longest side then the triangle has a right angle.
6² + 8² is not equal to 12² so it's not a right triangle.
