Right Triangles and Trig Ratios

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

• Yes

• No

• Maybe

• Pythagoras

When do three segment lengths form an acute triangle?

• a² + b² = c²

• a² + b² < c²

• a² + b² > c²

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

• Multiply that leg by 2
• Use the same length for the second leg
• Multiply that leg by √2
• Divide that leg by √2

What is the length of y in this picture?

• 45
• 5√2
• 90
• 5

In this 45-45-90 triangle, I have been given the length of a leg.  How do I find the length of the hypotenuse?

• It is the same length as the given leg.
• Multiply that leg's length by √2.
• Multiply that leg's length by 2.
• Divide that leg's length by √2.

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

Which side is the long leg in this 30-60-90 triangle?

• 4
• u
• v

Which side is the short leg of this 30-60-90 triangle?

• 6
• m
• n

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