Question

reminder: 6 iready’s are due on the last day of the month!

• packet is due the next week (mon/tues)
• tip: finish the section write after class, before the next class, so you don’t
• tip: use your notes to help you!
• homework help is every tues, wed, and thurs morning!
• getting a stamp helps cancel out any wrong answers. - get a stamp by com the section before the next class!
• use the youtube videos!

4.1 pythagorean theorem proof

1. in a right triangle, the sides are labeled a, b, and c, where c is the hypotenuse the equation that represents the pythagorean theorem. what does each variab represent?

1. the pythagorean theorem can be proven using areas of squares built on ea of a right triangle. describe how the areas of these squares demonstrate that a²

4.2 converse of pt

1. determine whether the triangle with side lengths 6 cm, 8 cm, and 10 cm pythagorean theorem or its converse.

1. a triangle has side lengths 7 m, 24 m, and 25 m. use the converse of t triangle is a right triangle

1. a right triangle has one leg measuring 9 units and a hypotenuse measu ing using the pythagorean theorem

1. a ladder is leaning against a wall. the bottom of the ladder is 9 ft from t the ground?

Explanation:

Step1: Recall Pythagorean Theorem

The Pythagorean Theorem for a right triangle with legs \(a\), \(b\) and hypotenuse \(c\) is given by \(a^{2}+b^{2}=c^{2}\).

Step2: Define Variables

• \(a\) and \(b\) represent the lengths of the two legs (the sides that form the right angle) of the right triangle.
• \(c\) represents the length of the hypotenuse (the side opposite the right angle, which is the longest side in a right triangle).

Answer:

The equation of the Pythagorean Theorem is \(a^{2}+b^{2}=c^{2}\), where \(a\) and \(b\) are the lengths of the legs of the right triangle, and \(c\) is the length of the hypotenuse.