Application in Real Life Using Pythagorean Theorem

If a ladder is leaning against a wall forming a right triangle with the ground, and the ladder is 15 feet long while the base of the ladder is 9 feet away from the wall, how high up the wall does the ladder reach?

• 12 feet

• 16 feet

• 14 feet

• 10 feet

Explain how the Pythagorean Theorem can be applied in real-life situations.

• By using the formula a^2 + b^2 = c^2, where 'a' and 'b' are the lengths of the two shorter sides of a right triangle, and 'c' is the length of the hypotenuse.

• The Pythagorean Theorem is only applicable in theoretical mathematics

• The Pythagorean Theorem is only relevant for equilateral triangles

• The Pythagorean Theorem can be used to calculate the area of a circle

Why is the Pythagorean Theorem important in the field of mathematics and beyond?

• The Pythagorean Theorem is important because it was discovered by Pythagoras himself

• The Pythagorean Theorem is important due to its fundamental relationship between the sides of a right triangle, enabling calculations in various fields beyond mathematics.

• The Pythagorean Theorem is crucial for solving algebraic equations

• The Pythagorean Theorem is significant due to its application in chemistry

How can the Pythagorean Theorem be used to find the distance between two points on a coordinate plane?

• distance = sqrt((x2 - x1) * (y2 - y1))

• distance = (x2 - x1) + (y2 - y1)

• distance = (x2 - x1) - (y2 - y1)

• distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

• 18 feet

• 12 feet

• 14 feet

• 2 feet

• A

• B

• C

• D

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be? Which equation could be used to solve the problem?

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 32 miles

• 37 miles

• 40 miles

A ladder is leaning against a wall, reaching a height of 12 feet. If the base of the ladder is 5 feet away from the wall, how long is the ladder?

• 13 feet

• 12 feet

• 17 feet

• 10 feet

Solve for the length indicated.

• 9

• 10

• 11

• 12