Quiz - Pythagorean Theorem

Complete the pythagorean theorem...If a triangle is a right triangle, then _________ (only write the equation, don't use any spaces)

Mathematical Equivalence

ON

Tags

CCSS.8.G.B.8

Label the right triangle with appropriate side names

a

b

c

Short Leg (SL)

Hypotenuse (H)

Long Leg (LL)

Tags

CCSS.HSG.CO.C.10

Match the type of triangle with its corresponding form of the Converse of the Pythagorean Theorem

• then it is a right triangle

• If a^2 + b^2 < c^2

• then it is an obtuse triangle

• If a^2 + b^2 > c^2

• then it is an acute triangle

• If a^2 + b^2 = c^2

Tags

CCSS.8.G.B.8

What is special about a Pythagorean Triple? (select all that apply)

• It is 3 whole numbers, like 3,4,5

• fits perfect into the pythagorean theorem

  3^2 + 4^2 = 5^2

  9 + 16 = 25
  25 = 25

• it can include fractions

• it can include decimals

Tags

CCSS.8.G.B.8

Put these steps in order to figure out if the sides 9, 17, 12, make a right triangle, acute triangle or obtuse triangle.

• identify the longest side, 17 as c

• substitute a,b,c in
  9^2 + 12^2 __17^2

• 225 < 289
  c^2 is bigger, so it is an obtuse triangle

• write the pythagorean theorem
  a^2 + b^2 __ c^2

• simplify both sides
  81 + 144 __289
  225 __289

Tags

CCSS.8.G.B.8