45-45-90 Right Triangle

A 45-45-90 Right Triangle is also known as a

• Equilateral Triangle (all sides are equal)

• Scalene Triangle (No equal sides)

• Isosceles Triangle (2 equal sides)

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When given the length of one of the legs of a 45-45-90 Right Triangle, we can calculate the length of the hypotenuse by

• dividing by

  $\sqrt{2}$

• multiplying by $\sqrt{2}$

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CCSS.HSG.SRT.C.8

When given the length of the hypotenuse of a 45-45-90 Right Triangle, we can calculate the length of the leg by

• multiplying by

   $\sqrt{2}$  

• dividing by  $\sqrt{2}$  

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CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find the value of y (leg).

• 11√2

• 11

• 22

• (11√2)/2

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CCSS.HSF.TF.A.3

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CCSS.HSG.SRT.C.8

Find the missing side lengths.

• a = 4, b = 4
• a = 4, b = 2√2
• a = 2√2,  b = 4
• a = 4, b = 4

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CCSS.HSG.SRT.C.8

What is the value of x?

• 2
• 18
• 2√9
• 9√2

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CCSS.HSA.REI.A.1

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Use the 45-45-90 theorem to solve for the hypotenuse.

• 16

• 8

• 8√2

• √16

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Find c.

• 6√2
• 2√6
• 6
• 12

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Find a and b.

• a = 5, b = 5

• a = 10, b = 10√2

• a = 10√2, b = 10√2

• a = 5√2, b = 5√2

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CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

If the leg of a 45-45-90 triangle is 7 cm long, then its hypotenuse is _____ cm.

• 7√2
• 49√2
• 7
• 7√7

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CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8