Digits, Grade 8, Volume 1, Homework Helper

4-3: TEKS Practice

  • 1. Is the triangle a right triangle?

    A right triangle with legs of length 6 and 8 and a hypotenuse of length 10.

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

    A right triangle with legs of length radical 26 and radical 28 and a hypotenuse of length 8.

  • 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 right triangle with legs of length 16 and 18 and a hypotenuse of length 34.

    • 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 right triangle with legs of length radical 132 and radical 157 and a hypotenuse of length 17.

    • 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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Table of Contents

Digits, Grade 8, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Proportionality Unit C: Expressions, Equations, and Relationships English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties