Understanding 45-45-90 Triangles

The video tutorial explains the properties of a 45-45-90 triangle, highlighting that it is an isosceles right triangle with congruent legs and angles of 45, 45, and 90 degrees. It details how to label the legs and hypotenuse, using the rule that the hypotenuse is the leg length multiplied by the square root of 2. The tutorial provides methods for calculating the hypotenuse when given a leg and vice versa, emphasizing the pattern of multiplication and division by the square root of 2.

What type of triangle is a 45-45-90 triangle?

• Scalene

• Right

• Equilateral

• Isosceles

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CCSS.HSG.CO.C.10

In a 45-45-90 triangle, what is the relationship between the two legs?

• They are perpendicular

• They are congruent

• They are parallel

• They are unequal

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CCSS.8.G.B.8

How do you calculate the hypotenuse in a 45-45-90 triangle?

• Multiply one leg by the square root of 2

• Add the lengths of the legs

• Multiply one leg by 2

• Divide one leg by the square root of 2

Tags

CCSS.8.G.B.8

If one leg of a 45-45-90 triangle is 5, what is the hypotenuse?

• 10√2

• 5

• 10

• 5√2

Tags

CCSS.8.G.B.8

What is the hypotenuse of a 45-45-90 triangle with legs of length 7?

• 7

• 14√2

• 7√2

• 14

Tags

CCSS.8.G.B.8

If the hypotenuse of a 45-45-90 triangle is 18√2, what is the length of each leg?

• 18√2

• 9

• 18

• 9√2

Tags

CCSS.8.G.B.8

How do you find the legs of a 45-45-90 triangle if you know the hypotenuse?

• Divide the hypotenuse by 2

• Multiply the hypotenuse by 2

• Divide the hypotenuse by the square root of 2

• Multiply the hypotenuse by the square root of 2

Tags

CCSS.8.G.B.8

What is the pattern for calculating the hypotenuse from a leg in a 45-45-90 triangle?

• Divide by the square root of 2

• Multiply by the square root of 2

• Multiply by 3

• Divide by 3

Tags

CCSS.8.G.B.8

What is the pattern for calculating a leg from the hypotenuse in a 45-45-90 triangle?

• Divide by 3

• Divide by the square root of 2

• Multiply by 3

• Multiply by the square root of 2

Tags

CCSS.8.G.B.8

In a 45-45-90 triangle, if the hypotenuse is 10√2, what is the length of each leg?

• 10√2

• 5√2

• 10

• 5

Tags

CCSS.8.G.B.8