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Ainat [17]
3 years ago
5

SOLVE 6-9. State of each triangle is a right triangle

Mathematics
1 answer:
11111nata11111 [884]3 years ago
7 0

To find out if a triangle is a right triangle, you can use the Pythagorean theorem(which can only be used for right triangles):

a² + b² = c² (c is the hypotenuse or the longest side) And you can plug in the side lengths into this equation. If they are the same number on both sides, it is a right triangle, if they are different numbers it is not a right triangle.


6.) a² + b² = c²

(4√3)² + (11)² = (13)²

(16(3)) + 121 = 169

48 + 121 = 169

169 = 169 It IS a right triangle


7.) a² + b² = c²

(5)² + (2√14)² = (9)²

25 + (4(14)) = 81

25 + 56 = 81

81 = 81 It IS a right triangle


8.) a² + b² = c²

(6)² + (√49)² = (√82)²

36 + 49 = 82

85 = 82 It is NOT a right triangle


9.) a² + b² = c²

(13)² + (2√39)² = (16)²

169 + (4(39)) = 256

169 + 156 = 256

325 = 256 It is NOT a right triangle

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