unit pythagorean theorem homework 4 answer key
Introduction
As a website operator, one of the main goals is to provide useful and informative content to the visitors. One of the important topics in mathematics is the Pythagorean theorem. In this article, we will provide the answers to the Unit Pythagorean Theorem Homework 4.
Understanding the Pythagorean Theorem
The Pythagorean Theorem is a fundamental concept in mathematics. It states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. This theorem is named after the ancient Greek mathematician Pythagoras.
Homework Questions and Answers
Here are the questions and answers for the Unit Pythagorean Theorem Homework 4:
Question 1:
Given a right-angled triangle with a hypotenuse of 10 cm and one of the other sides measuring 6 cm, what is the length of the other side?
Answer:
Using the Pythagorean Theorem, we can solve for the length of the missing side. Let’s call it x.
10^2 = 6^2 + x^2
100 = 36 + x^2
x^2 = 64
x = 8
So, the length of the missing side is 8 cm.
Question 2:
Given a right-angled triangle with one of the sides measuring 15 cm and the other side measuring 20 cm, what is the length of the hypotenuse?
Answer:
Using the Pythagorean Theorem, we can solve for the length of the hypotenuse. Let’s call it x.
x^2 = 15^2 + 20^2
x^2 = 225 + 400
x^2 = 625
x = 25
So, the length of the hypotenuse is 25 cm.
Question 3:
Given a right-angled triangle with one of the sides measuring 12 cm and the hypotenuse measuring 26 cm, what is the length of the other side?
Answer:
Using the Pythagorean Theorem, we can solve for the length of the missing side. Let’s call it x.
26^2 = 12^2 + x^2
676 = 144 + x^2
x^2 = 532
x = sqrt(532)
So, the length of the missing side is approximately 23.05 cm.
Conclusion
In this article, we have provided answers to the Unit Pythagorean Theorem Homework 4. By practicing these questions and understanding the Pythagorean Theorem, students can improve their problem-solving skills and develop a better understanding of geometry. As a website operator, providing such educational content can help in attracting more visitors to the website.
