Between which two consecutive whole numbers is the length of the hypotenuse? the number is 145 what is it between

To determine between which two consecutive whole numbers the length of the hypotenuse (given as 145) lies, you need to find the square root of 145 and then determine the nearest whole numbers.

\[
\sqrt{145} \approx 12.04
\]

The square root of 145 is approximately 12.04. Therefore, the length of the hypotenuse lies between the consecutive whole numbers 12 and 13.

Would you like more details or have any questions? Here are some related questions you might consider:

1. How do you find the square root of a non-perfect square?
2. Can you approximate square roots without a calculator?
3. What is the exact square root of 144, and how does it compare to 145?
4. How is the Pythagorean Theorem used to find the hypotenuse?
5. What are perfect squares, and how do they relate to whole numbers?

**Tip:** When approximating square roots, remember that the square roots of perfect squares (like 144 and 169) can help you estimate the square root of nearby non-perfect squares.

Explore how to determine between which two consecutive whole numbers the length of the hypotenuse (145) lies using the Pythagorean Theorem and square root approximation. Understand the relationship between perfect squares and non-perfect squares in this math problem suitable for Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation