Use Pythagoras’ Theorem to solve the following word problems (give your answers to the nearest hundredths or to 2 decimal places): 1) Carl walked 4 m west and 5 m south. Calculate how far he is from his starting point? Distance =m ...
Videos, worksheets, solutions, and activities to help Algebra 1 students learn how to solve Pythagorean theorem word problems. Pythagorean Theorem Word Problems In this lesson, students use the Pythagorean Theorem to find missing side lengths of right triangles in a variety of word problems for exam...
The Pythagorean theorem is often used to find unknown lengths of the sides of right triangles. If the longest leg of a right triangle is labeled c, and the other two a, and b as in the image on the left, The Pythagorean Theorem states that...
Both had studied geometry and some trigonometry, and both told us math was not easy. What no one toldthemwas there had been more than 300 documented proofs of the Pythagorean Theorem using algebra and geometry, but for 2,000 years a proof using trigonometry was thought to be impos...
Proof of the Pythagorean Theorem using AlgebraWe can show that a2 + b2 = c2 using AlgebraTake a look at this diagram ... it has that "abc" triangle in it (four of them actually):Area of Whole SquareIt is a big square, with each side having a length of a+b, so the total area...
It is important to note that we could swap the labels for the legs (aandb) and still get the same results in the Pythagorean Theorem. Now we will try out three example problems to demonstrate how to use the Pythagorean Theorem. The first example will have us solve for the hypotenuse leng...
Linear algebra 1.2.2.2 Best approximation theorem Many optimization applications can be converted to the following best approximation problem. We have a linear subspace U⊆V and a vector v∉U. We want to find the vector v⁎ in U that is closest to v in the norm as in Fig. 1.1, th...
Pythagorean Theorem Practice Problems Practice Problem 1: A sail on a sailboat is in the shape of a right triangle. The length of the longest side of the sail is $220$ centimeters, and the length of the other side of the sail is $5$ meters. Practice Problem 2: Given a triangle $\...
Visually Explaining the Pythagorean Theorem Samantha needs to put up lights for Christmas. She has a 20-foot ladder and is going to place it 12 feet from the house. How tall is her house? Problems like these can be easily solved when the Pythagorean Theorem is known. What is the Pythagore...
What are we doing Today OBJECTIVE: WE WILL be able to solve word problems using the Pythagorean Theorem. ESSENTIAL UNDERSTANDING: As with all geometry problems the key is to draw a diagram! AP DRAW CUBES DRAW: Draw a Diagram EVERY TIME! Then: C = Circle the numbers U = Underline the un...