8.G.6 questions

Which could be the side lengths of a right triangle?

• 30cm, 60cm, 90cm

• 45cm, 45cm, 90cm

• 52 cm, 165 cm, 173 cm

• 58cm, 62cm, 189cm

Tags

CCSS.8.G.B.8

Tonya used side lengths a, b, and c to make different triangles. When Tonya only changed the length of side c, she noticed patterns with the side lengths used and the types of triangles formed. Which statement is true from Tonya's investigation?

• If the length of c is equal to 2a+2b. the triangle formed is a right triangle.

• if the length of side c is equal to 2a-2b, the triangle formed is a right triangle.

If square C has an area of 225 square centimeters and square A has an area of 81 centimeters square, what is the area of square B?

• 144 cm²

• 153 cm²

• 169 cm²

• 306 cm²

Which picture below shows the correct measurements for a right triangle? Note pictures are not drawn to scale.

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Tags

CCSS.8.G.B.8

The hypotenuse of a right triangle is 12 inches. The length of one of the legs is 6 inches. How can you find the length of the other leg?

• Subtract the length of the known leg from the hypotenuse

• Square the hypotenuse and the leg, find the sum of the squares, and then find the square root of the sum.

• Square the leg and subtract the hypotenuse from the square of the leg

• Square the hypotenuse and the leg, subtract the square of the leg from the square of the hypotenuse, and then find the square root of the difference.

Tags

CCSS.8.G.B.7

Use the converse of the Pythagorean Theorem to determine which triangles are Right triangles. Select two.

• 4,7,9

• 10,13,16

• 4.5,6,7.5

• 20,21,29

Tags

CCSS.8.G.B.8

Consider the figure. If a student were to draw a grid in the empty box to prove the triangle is a right triangle, which statement is true?

• The dimensions of the grid should be 10 by 10 because 36 +64= (10x10)

• The dimensions of the grid should be 6 by 8 because 36+ 64 = (6 x 8)

• The dimensions of the grid should be 2 x 2 because 36 + 64 =(2x2)

• The dimensions of the grid should be 12 x 12 because 35 + 64 = (12x12)

Tags

CCSS.8.G.B.8

Is the following triangle a right triangle? Note: picture is not drawn to scale. *Numbers are side lengths, they are not squared.

• Yes

• No

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CCSS.8.G.B.8

Which are NOT the dimensions of a right triangle?

• 3in, 4in, 5in

• 7in, 10in, 16in

• 11in, 60in, 61in

• 12in, 35in, 37in

Tags

CCSS.8.G.B.8

Which of the following are NOT measures of the sides of a right triangle?

• 3cm, 4cm, 5cm

• 5cm, 12cm, 13cm

• 8cm, 15cm, 17cm

• 10cm, 24cm, 35cm

Tags

CCSS.8.G.B.8