Unit 8 - Right Triangles and Trig

Do these 3 lengths form a triangle?

10, 4, 6

• 10+4 = 14 > 6

  YES

• 16+6 = 16 > 4

  YES

• 4+6 = 10 = 10

  YES

• 4+6 = 10 = 10

  NO

Which of the following formulas is NOT useful when determining if a triangle is right, acute or obtuse?

• a²+b² = c²

• a²+b² < c²

• a²- b² = c²

• a²+b² > c²

Tags

CCSS.8.G.B.8

Which of the following determines that a triangle is RIGHT?

• a²+b² = c²

• a²+b² > c²

• a²+b² < c²

• a+b > c

Tags

CCSS.8.G.B.8

Which of the following determines that a triangle is ACUTE?

• a²+b² = c²

• a²+b² > c²

• a²+b² < c²

• a+b > c

Tags

CCSS.HSG.CO.C.10

Which of the following determines that a triangle is OBTUSE?

• a²+b² = c²

• a²+b² > c²

• a²+b² < c²

• a+b > c

Tags

CCSS.8.G.B.8

Do these 3 side lengths form a triangle?

13, 7, 9

• 13+7 = 20 > 9

  YES

• 13-7 = 6 < 9

  NO

• 7+9 = 16 > 13

  YES

• 13+9 = 22 > 7

  YES

Classify the triangle with the sides 13, 7, 9 as:

right acute or obtuse.

• 7+9 = 16 > 13

  ACUTE

• 13²+7²____ 9²

  218 > 81

  ACUTE

• 7²+9²____13²

  130 < 169

  OBTUSE

• 7²+9²____13²

  130 < 169

  ACUTE

Tags

CCSS.HSG.CO.C.10

Do these 3 side form a triangle?

10, 6, 8

• 6+8 = 14 > 10

  YES

• 10-6 = 4 < 8

  NO

• 8+10 = 18 > 6

  YES

• 10+8+6 = 24

  YES

Classify the triangle with the sides 10, 6, 8 as:

right acute or obtuse.

• 10²+6²___8²

  136 > 64

  ACUTE

• 10²+6²___8²

  136 > 64

  OBTUSE

• 8²+6²___10²

  100 = 100

  RIGHT

• 8²+10²___6²

  164 > 36

  ACUTE

Tags

CCSS.8.G.B.8

Do these 3 sides form a triangle?

10, 9, 12

• 9+12 = 21 > 10

  YES

• 10+9 = 19 > 12

  YES

• 10+9+12 = 31

  NO

• 12-9 = 3 < 10

  NO