Pythagorean Converse, Special Right Triangles

What is the length of x in this 45-45-90 triangle?

• 4√2

• 4

• 8

• 4√3

What is the length of y in this 45-45-90 triangle?

• 8√2

• 4√2

• 4

• 8

I have been given the short leg in this 30-60-90 triangle.  How do I find the long leg?

• Multiply 4 by 2

• Multiply 4 by √3

• Multiply 4 by √2

• Divide 4 by 2

Find the value of x.

• 9

• 2√3

• 1

• 3

Find a.

• 2√3

• 2

• 12

• 6

Given the lengths 6", 8", 10", classify the triangle formed and or state that no triangle CAN be formed.

• No triangle

• Acute triangle

• Right triangle

• Obtuse triangle

• A
• B
• C
• D

What is the length of the missing side?

• 17

• 13

• 10.9

• 169

Can side lengths 6, 8, and 10 form a right triangle?

• yes

• no

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.