Pythagorean Theorem and Converse

Do the segment lengths 9, 12, and 15 form a right triangle?

• Yes
• No

Tags

CCSS.8.G.B.8

Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?

• yes

• no

Tags

CCSS.8.G.B.8

• Acute

• Obtuse

• Right

• Not a Triangle

Tags

CCSS.8.G.B.8

• Acute

• Obtuse

• Right

• Not a Triangle

Tags

CCSS.8.G.B.8

• Acute

• Obtuse

• Right

• Not a Triangle

Tags

CCSS.8.G.B.8

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse
• scalene
• isosceles
• right

Tags

CCSS.8.G.B.8

What is the longest side of a right triangle called?

• Leg A
• Leg B
• Hypotenuse
• Pythagoras' Big Buddy

Which statement is the MOST accurate about the converse of the Pythagorean Theorem?

• The converse is used to determine an unknown side length.

• The converse is only useful with right triangles

• The converse is used to determine if a triangle is or is not a right triangle

• The converse always works out that a²+b²=c²

Answer explanation

The Converse of the Pythagorean Theorem states:

IF
$a^2+b^2=c^2$
(where c is the longest side length)

THEN

The triangle is a right triangle.

Tags

CCSS.8.G.B.8

Find the length of the missing side. 

• 17 cm
• 22 cm
• 15 cm
• 13 cm

Tags

CCSS.8.G.B.7

The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
4, 5, 6

• right
• obtuse
• acute

Tags

CCSS.4.G.A.2