Math Problem Statement

Find the measure of the side of the right triangle whose length is designated by a lowercase letter

b.

Round answers to the nearest whole number.

44165

Question content area bottom

Part 1

b almost equals≈enter your response here

in

​(Do not round until the final answer. Then round to the nearest whole​ number.)

Solution

To find the length of side bb in a right triangle, we generally use the Pythagorean theorem:

a2+b2=c2a^2 + b^2 = c^2

where cc is the hypotenuse and aa and bb are the legs of the triangle. If one of these values is missing, we can solve for it using the equation. However, your question only mentions "44165" without specifying if it's a leg or the hypotenuse.

Steps to solve:

  1. Identify which side 44165 refers to:

    • If 44165 is the hypotenuse, then use a2+b2=441652a^2 + b^2 = 44165^2.
    • If 44165 is one of the legs, then use 441652+b2=c244165^2 + b^2 = c^2.
  2. Solve for bb:

    • For the first case: b2=441652a2b^2 = 44165^2 - a^2.
    • For the second case: b2=c2441652b^2 = c^2 - 44165^2.
  3. Calculate bb:

    • Take the square root of b2b^2.

Please clarify whether 44165 represents the hypotenuse or one of the legs, or provide the missing value, so I can give you a precise answer.

Would you like more details or have any questions?

Relative Questions:

  1. How do you determine the hypotenuse in a right triangle?
  2. What are some common Pythagorean triples?
  3. How does rounding affect the accuracy of results in geometric calculations?
  4. Can a right triangle have sides with irrational lengths?
  5. How does the Pythagorean theorem apply in 3D geometry?

Tip: Always double-check which side of the triangle (hypotenuse or leg) a given length represents before applying the Pythagorean theorem.

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Math Problem Analysis

Mathematical Concepts

Geometry
Right Triangles
Pythagorean Theorem

Formulas

a^2 + b^2 = c^2

Theorems

Pythagorean Theorem

Suitable Grade Level

Grades 8-10