Pythagorean Theorem Examples

What is the Pythagorean theorem?

• A way of relating the leg lengths of a right triangle to the length of the hypotenuse

• A way of finding the area of a triangle

• A way of finding the perimeter of a triangle

• A way of finding the angles of a triangle

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

What is the formula for the Pythagorean theorem?

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a^2 + b^2 = c

• a + b = c^2

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

In the Pythagorean theorem, what does 'a' represent?

• The length of one leg of the right triangle

• The length of the hypotenuse

• The length of the other leg of the right triangle

• The area of the triangle

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

In the Pythagorean theorem, what does 'b' represent?

• The length of one leg of the right triangle

• The length of the hypotenuse

• The length of the other leg of the right triangle

• The area of the triangle

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

In the Pythagorean theorem, what does 'c' represent?

• The length of one leg of the right triangle

• The length of the hypotenuse

• The length of the other leg of the right triangle

• The area of the triangle

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

What is the value of 'x' in the example given?

• 10

• 100

• -10

• 0

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CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.B.4

What is the value of 'y' in the example given?

• 16

• 80

• 4/5

• 144

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is the shortest distance between the two hikers in the word problem?

• 4.18 miles

• 17.45 miles

• 2.8 miles

• 3.1 miles

Tags

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

What is the value of 'y' in terms of 'x' in the algebraic problem?

• x/3

• 3x

• 3x^2

• 4x

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.4

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3

What should you do when applying the Pythagorean theorem to a problem?

• Draw a picture of the situation

• Use any variables to represent the lengths

• Use a calculator to simplify the equation

• Mix up the order of the legs in the formula

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8