Digits, Grade 8, Volume 1, Homework Helper

### 4-3: TEKS Practice

• 1. Is the triangle a right triangle?

• 2. Is the triangle a right triangle? The figure is not drawn to scale.

• 3. Which lengths could represent the side lengths of a right triangle?

• I. 7 comma 10 comma , square root of 132

• II. 5 comma 11 comma , square root of 146

• III. 6 comma 87 comma square root of 87

• 4.

• a. Writing Decide if the triangle is a right triangle. The figure is not drawn to scale.

• A. No, because 162 + 182 ≠ 342.

• B. Yes, because 162 + 182 = 342.

• C. No, because 16+ 18 ≠ 34.

• D. Yes, because 16+ 18 = 34.

• b. How can you use your results to decide if a triangle with side lengths 8, 9, and 17 is a right triangle?

• 5. Reasoning Is the triangle a right triangle? The figure is not drawn to scale.

• A. No, because a + bc.

• B. Yes, because a 2 + b 2 = c 2.

• C. No, because a 2 + b 2c 2.

• D. Yes, because a + b = c.

• 6. Error Analysis Three students draw triangles with the side lengths listed below. Each student says his triangle is a right triangle.

Student 1: 24, 18, 42

Student 2: 30, 72, 78

Student 3: 12, 18, 30

• a. Which students are incorrect?

• b. What mistake might they have made?

• 7. Multiple Representations Which lengths represent the side lengths of a right triangle? Draw each triangle to verify your answer.

Triangle 1: 12, 9, 21

Triangle 2: 15, 36, 39

Triangle 3: 9, 12, 15

• 8. Metalworking A machine in a factory cuts out triangular sheets of metal. Which of the triangles are right triangles? Select all that apply.

• 9. The lengths of the sides of a triangle are 4.5, 6, and 7. Is the triangle a right triangle?

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