Exploring Special Right Triangles in Geometry

What theorem is used to find the missing side of a triangle?

• Fermat's Last Theorem

• Euclid's theorem

• Thales' theorem

• Pythagorean theorem

Tags

CCSS.HSG.CO.C.10

What is the ratio of sides in a 30-60-90 triangle?

• 1:2:√3

• 1:1:√2

• 1:√3:2

• √2:√3:2

Tags

CCSS.8.G.B.8

How do you find the longer side of a 30-60-90 triangle if you know the short side?

• Multiply by √3

• Divide by 2

• Divide by √3

• Multiply by 2

Tags

CCSS.HSG.SRT.A.2

What is the first step in solving similar triangles?

• Calculate the area

• Draw a reference triangle

• Identify the longest side

• Find the hypotenuse

Tags

CCSS.HSG.SRT.C.8

When solving for a side across from the 60-degree angle, what operation do you perform?

• Multiply by √3

• Divide by 2

• Multiply by 2

• Divide by √3

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is the purpose of rationalizing the denominator?

• To simplify the expression

• To find the triangle's area

• To calculate the perimeter

• To determine the triangle's height

Tags

CCSS.HSG.SRT.C.8

What shortcut is used to find the short side from the middle side in a 30-60-90 triangle?

• Multiply by 2

• Divide by 2

• Multiply by √3

• Divide by √3

Tags

CCSS.HSG.CO.C.11

How do you find the middle side if you know the short side?

• Multiply by √3

• Divide by 2

• Multiply by 2

• Divide by √3

Tags

CCSS.5.NBT.B.7

What is the result of dividing any number by itself?

• 0

• 1

• The same number

• √2

Tags

CCSS.5.NBT.B.7

In real-world applications, why might you need to convert a radical measurement to a decimal?

• To measure distances accurately

• To simplify calculations

• To calculate the triangle's area

• To find the triangle's height