AnswersNY-Geometry Term 1 HillcrestUsing Triangle Similarity Theorems

3.2 - Special Right Triangles Answers

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1
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Which set of side lengths forms a right triangle?

A
2, 3, 13
B
4, 6, 10
C
9, 12, 18
D
15, 36, 39
2
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Which expression is equivalent to the area of square A, in square inches?

Question illustration
A
One-half (10) (24)
Option A
B
10 (24)
Option B
C
(10 + 24) squared
Option C
D
10 squared + 24 squared
Option D
3

Imara used these steps to find the length of the hypotenuse of the right triangle.Step 1: Find the area of the square with side lengths of 20: 400 Step 2: Find the area of the square with side lengths of 15: 225Step 3: Find the sum of the areas of the two squares: 625Step 4: State the length of the hypotenuse: 625Which best describes Imara’s error?

Question illustration
A
She should have found the area of the square with side lengths of 15 first.
B
She did not correctly calculate the area of the square with side lengths of 15.
C
She should have found the sum of 15 and 20 and then squared the sum.
D
She did not find the side lengths of the square with an area of 625.
4

What is the length of the hypotenuse, x, if (12, 35, x) is a Pythagorean triple?

A
33
B
37
C
47
D
58
5

Nadia says the hypotenuse of this right triangle has a length of 73 because the Pythagorean theorem states that .Which best describes Nadia’s solution?

Question illustration
A
She is correct because she applied the Pythagorean theorem properly and her arithmetic is accurate.
B
She is incorrect because she should have used 45 as the length of the hypotenuse.
C
She is incorrect because she should have squared each leg length and then found the sum.
D
She is correct because the hypotenuse is the longest side of the triangle.
6

Which statement explains why 49 is a perfect square?

A
49 can be multiplied by 49.
B
49 is equal to 7 plus 7.
C
49 is between 36 and 64.
D
49 is equal to 7 times 7.
7

Which is a perfect square?

A
5
B
8
C
36
D
44
8

Which is a perfect square?

A
20
B
21
C
24
D
25
9

Anja is creating a triangle using three straws. The two shorter straws have lengths of 20 cm and 21 cm. How long, in centimeters, should the third straw be for Anja to create a right triangle?

Answer not available
10

Which set of side lengths is a Pythagorean triple?

A
1, 3, 10
B
4, 5, 9
C
9, 40, 41
D
16, 30, 44

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