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Pythagorean Theorem and The Triangle

The Triangle is a kind of polygon that is also a closed, two-dimensional shape with three straight sides object. It is classified based on its side lengths and angle measures. For instance, there are acute, obtuse, and right angles and identify equal sides. Pythagorean Theorem It is used to calculate the steepness of the slope of the mountain hills. On the other hand, it somehow the relationship between the three sides of a right triangle in geometry. Wherein the hypotenuse is equal to the sum of the areas on its other two sides. Height, and the given base. a = Height b = Base c = Hypotenuse Formula: a2 + b2 = c2 Click This to Explore

Watch this video for additional references!

Activity 1:

Instruction: Create your own Pythagorean Theorem problem that you can experience or you had experienced for real inside your house, and afterward use the given formula to solve what you are looking at. Use an illustration to present.

Activity 2: Problem Solving 5 points each

1. Catherine marched 6 m east and 12 m to the north. How far is she from her starting point? Sketch the scenario and solve the problem.

2.  The main mast of a fishing boat is supported by a sturdy rope that extends from the top of the mast to the deck. If the mast is 20 feet tall and the rope attached to the deck 15 feet away from the base of the mast, how long is the rope?

3. Gea went to the mountain together with her auntie to fly a kite. She let out all 500 feet of the string and tied it to a stake that she's holding. Then, she walked out on the base until she was directly under the kite, which was 450 feet from the stake. How high was the kite from the ground?

4. If an equilateral triangle has a height of 20 cm, find the length of the remaining two sides.