Triangles.

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Presentation transcript:

Triangles

Leg + Leg > Hypotenuse A B C D E F Boards A and E = 20 feet Board B = 4 feet Board C = 18 Feet Board D and F = 10 feet Leg + Leg > Hypotenuse Answer Yes or No. Can the following boards make a triangle? A, B, C C, D, E D, A, F B, A, D A, D, B B, D, F

A B C D E F Boards A and E = 20 feet Board B = 4 feet Board C = 18 Feet Board D and F = 10 feet Answer Yes or No. Can the following boards make a triangle? A, B, C Yes C, D, E Yes D, A, F No B, A, D No A, D, B No B, D, F Yes

If boards A and B were being used with another board (not in the picture), what could the shortest length of that board be? Use a whole number to answer. If boards A and B were being used with another board (not in the picture), what could the longest length of that board be? Use a whole number to answer.

If boards A and B were being used with another board (not in the picture), what could the shortest length of that board be? Use a whole number to answer. 17 feet If boards A and B were being used with another board (not in the picture), what could the longest length of that board be? Use a whole number to answer. 23 feet

If boards C and D were being used with another board (not in the picture), what could the shortest length of that board be? Use a whole number to answer. If boards C and D were being used with another board (not in the picture), what could the longest length of that board be? Use a whole number to answer.

If boards C and D were being used with another board (not in the picture), what could the shortest length of that board be? Use a whole number to answer. 9 feet If boards C and D were being used with another board (not in the picture), what could the longest length of that board be? Use a whole number to answer. 27 feet

A B C D E F A = 12in B = 9in C = 14in D = 5 in E = 15 in F = 4 in Which line segments could you use to form three different triangles? EX: A, B, C would make a triangle Which line segments could you use that would not make a triangle?

A triangle has a side length of 12 inches and another side length of 15 inches. Is it possible that the sum of the side lengths of the triangle could be 34 inches? 12 + 15 + x = 34 x + 27 = 34 x = 7 A triangle has a side length of 14 inches and another side length of 28 inches. Is it possible that the sum of the side lengths of the triangle could be 45 inches? 14 + 28 + x = 45 x + 42 = 45 x = 3 Leg + Leg > Hypotenuse 7 + 12 > 15 True! Yes, it makes a triangle! Leg + Leg > Hypotenuse 3 + 14 > 45 FALSE! NO, it does not make a triangle!

A triangle has a side length of 5 inches and another side length of 7 inches. Is it possible that the sum of the side lengths of the triangle could be 22 inches? A triangle has a side length of 12 inches and another side length of 6 inches. Is it possible that the sum of the side lengths of the triangle could be 24 inches? A triangle has a side length of 10 inches and another side length of 15 inches. Is it possible that the sum of the side lengths of the triangle could be 37 inches? A triangle has a side length of 18 inches and another side length of 6 inches. Is it possible that the sum of the side lengths of the triangle could be 34 inches?

No! It does not make a triangle. A triangle has a side length of 5 inches and another side length of 7 inches. Is it possible that the sum of the side lengths of the triangle could be 22 inches? Yes! It makes a triangle A triangle has a side length of 12 inches and another side length of 6 inches. Is it possible that the sum of the side lengths of the triangle could be 24 inches? No! It does not make a triangle. A triangle has a side length of 10 inches and another side length of 15 inches. Is it possible that the sum of the side lengths of the triangle could be 37 inches? A triangle has a side length of 18 inches and another side length of 6 inches. Is it possible that the sum of the side lengths of the triangle could be 34 inches?