Answers Foundations of Math 1Pythagorean Theorem

Pythagorean Theorem — Test Answers

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Nadine is making a quilt. She can use a rectangle of any length and width, as long as the angles in the shape are right angles. Which pieces of fabric can Nadine use in the quilt? Choose three correct answers. Fabric 1 length: 5 cm width: 12 cm diagonal: 13 cm Fabric 2 length: 8 cm width: 6 cm diagonal: 10 cm Fabric 3 length: 4 cm width: 5 cm diagonal: 6 cm Fabric 4 length: 10 cm width: 8 cm diagonal: 12 cm Fabric 5 length: 6 cm width: 4 cm diagonal: 8 cm Fabric 6 length: 8 cm width: 15 cm diagonal: 17 cm

Fabric 1

Fabric 2

Fabric 3

Fabric 4

Fabric 5

Fabric 6

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In an isosceles triangle, the longest side measures c units. The other sides of the triangle measure A units. Which equation can be used to determine if the triangle is a right triangle?

2 A squared is equal to c squared

A squared is equal to c squared

A to the 4th power is equal to c squared

2 A is equal to c

Which inequalities are true? Choose four correct answers.

square root of 8 is less than 2

square root of 8 is greater than 8

0 is less than square root of 8

1 is less than square root of 8

square root of 8 is less than 3

square root of 8 is greater than square root of 7

Which point best approximates square root of 45 ? Expand Image

cap b

cap A

cap d

cap c

Which is a perfect square?

6 to the 1th power

6 cubed

6 to the 5th power

6 squared

Which two numbers does square root of 52 lie between on a number line?

7 point 2 and 7 point 3

7 point 0 and 7 point 1

7 point 3 and 7 point 4

7 point 1 and 7 point 2

Which is a perfect square?

What is the length of the hypotenuse in a right triangle with legs of length 14 and 48?

Answer:

Which two numbers does square root of 61 lie between on a number line?

7 point 7 and 7 point 8

7 point 8 and 7 point 9

7 point 9 and 8 point 0

8 point 0 and 8 point 1

Denesh is creating a triangular flower bed using three pieces of wood. The two shorter pieces of wood have lengths of 7 feet and 24 feet. How long, in feet, should the third piece of wood be for Denesh to create a right triangle?

Answer:

What is the length of the unknown leg in the right triangle?

square root of 194 mi

square root of 22 mi

square root of 104 mi

square root of 32 mi

In centimeters, what is the approximate height of the ramp? Round the answer to the nearest tenth of a centimeter.

Answer:

19.2

Which math sentence can be used to determine if this triangle is a right triangle?

20 plus 21 is equal to 29

20 squared plus 21 squared is equal to 29 squared

29 squared plus 21 squared is equal to 20 squared

29 plus 21 is equal to 20

Which equation can be used to find the unknown length, b , in this triangle?

4 squared plus b squared is equal to 5 squared

5 squared plus 4 squared is equal to b squared

5 squared plus b squared is equal to 4 squared

4 squared minus b squared is equal to 5 squared

Which equation can be used to find the unknown length, A , in this triangle?

A squared plus 15 is equal to 17 squared

15 squared plus 17 squared is equal to A squared

A squared plus 15 squared is equal to 17 squared

A plus 15 squared is equal to 17 squared

Which equation could be used to find the length of the hypotenuse?

c squared minus 5 squared is equal to 8 squared

5 squared plus c squared is equal to 8 squared

8 squared minus 5 squared is equal to c squared

5 squared plus 8 squared is equal to c squared

Which equation could be used to find the length of the hypotenuse?

5 squared minus 2 squared is equal to c squared

2 squared plus 5 squared is equal to c squared

c squared minus 2 squared is equal to 5 squared

2 squared plus c squared is equal to 5 squared

Which math sentence can be used to determine if this triangle is a right triangle?

12 squared plus 18 squared is equal to 15 squared

12 squared plus 15 squared is equal to 18 squared

12 plus 18 is equal to 15

12 plus 15 is equal to 18

The areas of the squares created by the side lengths of the triangle are shown. Which best explains whether this triangle is a right triangle?

Based on the converse of the Pythagorean theorem, the triangle is not a right triangle because 9 plus 15 is not equal to 12 .

Based on the converse of the Pythagorean theorem, the triangle is not a right triangle because 9 squared plus 12 squared is not equal to 15 squared .

Based on the converse of the Pythagorean theorem, the triangle is not a right triangle because 9 plus 12 is not equal to 15 .

Based on the converse of the Pythagorean theorem, the triangle is a right triangle because 9 squared plus 12 squared is equal to 15 squared .

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Pythagorean Theorem — Test Answers

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