Pythagorean Theorem with Radical Side Lengths

Tags

CCSS.8.G.B.8

The sum of the squares of the leg lengths is equal to the square of the hypotenuse length.

• Theory of Relativity

• Newton's 3rd Law of Motion

• Pythagorean Theorem

• Murphy's Law

Tags

CCSS.8.G.B.8

The sum of the leg lengths of a right triangle are always ____________ the length of the hypotenuse.

• greater than

• less than

• equal to

• the square of

Tags

CCSS.8.G.B.8

”Real-world” word problems often have ladders leaning against trees, houses, or other structures. In these problems, the ladder is this part of a right triangle.

• Vertex

• Leg

• It depends on the situation.

• Hypotenuse.

The longest side of a right triangle.

• Leg 1

• Leg 2

• Perimeter

• Hypotenuse

When testing to see if three numbers would form a right triangle, doing this guarantees the legs are on the left side of the Pythagorean Theorem equation.

• Putting the numbers in order from largest to smallest.

• Finding the roots of all the squares.

• Putting the numbers in order from smallest to largest.

• Making sure your calculator is in Scientific Mode.

Tags

CCSS.8.G.B.8

Which set of sides would make a right triangle?

• 4,5,6

• 8,10,12

• 5,12,13

• 5,10,12

Tags

CCSS.8.G.B.8

_{^{Find the missing side}}

• √29.2

• √400

• √20

• √10

Tags

CCSS.8.G.B.7

Find the most simplified radical AND approximate answers for x.

• 13√2 ≈ 18.4

• 2√13 ≈ 7.2

• 4√13 ≈ 14.4

Tags

CCSS.8.G.B.7

_{^{Find the missing side}}

• 36

• 76.8

• 12

• 40

Tags

CCSS.8.G.B.7