Question

The Pythagorean Theorem- Find the Missing Length:

To get from home to work every day, Samos drives 7 miles east on Avenue A, and then drives north on Avenue B. He knows that the straight-lines distance from his home to his place of work is about 25 miles. How many miles does he drive north on Avenue B?

a. Draw a sketch:
b. Write an appropriate formula and substitute with numbers:
c. Answer the question in words:

Answer 1

The miles he drove North on Avenue B is 24 miles.

What is Pythagoras theorem?

According to the Pythagoras theorem, the square of the hypotenuse is the sum of the square of the opposite sides.

The Pythagoras theorem: a² + b² = c²

Where:

• a = length
• b = base = 7 miles
• c = hypotenuse = 25 miles

How many miles did he drive north of Avenue B?

25² - 7²

625 - 49 = 576

√576 = 24 miles

Please find attached the required diagram. To learn more about Pythagoras theorem, please check: https://brainly.com/question/14580675